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Full text of "Beyond Slonimsky: Melodic Patterns for Guitar"

Rich Cochrane 



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1 note 1 

2 notes 12,21,121,212,1212,2121 

3 notes 123,132,213,231,312,312, 

1213,1231,1232,1321,1323,1312, 
2123,2131,2132,2312,2313,2321, 
31 21,31 23,3132,321 2,3213,3231 

4 notes 1234, 1243, 1324, 1342, 1423, 

1432, 2134, 2143, 2314, 2341, 
2413, 2431, 3142,3124, 3214, 
3241,3412, 3421,4123,4132, 
4213,4231, 4312,4321 




Beyond Slonimsky 



Melodic Patterns For Guitar 



BIG NOISE PUBLISHING 

©2012 Rich Cochrane (version 1.1) 

http://cochranemusic.com 

Published under the following Creative Commons license: 
Attribution-NonCommercial-NoDerivs 2.0 UK: England and Wales (CC BY-NC-ND 2.0) 

http://creativecommons.Org/licenses/by-nc-nd/2.0/uk/ 

Some rights reserved. Unaltered electronic copies of this publication may be circulated freely. 

You are not permitted to sell this work in any form. 



Typeset in MfiX 



Contents 



1 Introduction 1 

1.1 Slonimsky's Recipe 2 

1.1.1 Stage One: Constructing the Base 2 

1.1.2 Stage Two: Adding the Ornament 4 

1.2 The Basic Ornaments 5 

1.2.1 Layouts 5 

1.2.2 Sequences 7 

1.3 Application to Symmetrical Scales 9 

1.3.1 Notes on the Way Things are Laid Out 10 

1.4 Summary 11 

Part I Symmetrical Scales 13 

2 Augmented Arpeggio 15 

2.1 Augmented Fifth 15 

2.2 Major Third 15 

3 Diminished Seventh Arpeggio 17 

3.1 Major Sixth 17 

3.2 Minor Third 19 

3.3 Diminished Fifth 21 

4 Dominant 7 b5 arpeggio 23 

4.1 Diminished Fifth 23 

5 Whole Tone Scale 25 

5.1 Whole Tone 25 

5.2 Augmented Fifth 36 

5.3 Major Third 42 

5.4 Minor Seventh 47 

5.5 Diminished Fifth 54 



CONTENTS 



6 Half- Whole Diminished Scale Group 57 

6.1 Major Sixth 57 

6.2 Minor Third 85 

6.3 Diminished Fifth 108 

7 Half- Whole Diminished Scale Group 113 

7.1 Major Sixth 113 

7.2 Minor Third 124 

8 Half- Whole Diminished Scale Subset 135 

8.1 Diminished Fifth 135 

9 l dom + b6 maj Scale Group 139 

9.1 Augmented Fifth 139 

9.2 Major Third 140 

10 4 min + 7 min Scale Group 141 

10.1 Diminished Fifth 141 

11 2 ma J + fj5 maj Scale Group 145 
11.1 Diminished Fifth 145 

12 Double Chromatic Scale Group 151 

12.1 Diminished Fifth 151 

13 Triple Chromatic Scale Group 153 

13.1 Augmented Fifth 153 

13.2 Major Third 162 

Part II Total Chromatic 171 

14 Introduction 173 

15 Major Second 175 

15.1 Major Second 175 

15.2 Minor Seventh 195 

16 Minor Third 207 

16.1 Minor Third 207 

16.2 Major Sixth 213 

17 Major Third 219 

17.1 Major Third 219 

17.2 Minor Sixth 221 



CONTENTS v 

18 Fourth 223 

18.1 Fourth 223 

18.2 Fifth 253 

Part III Non-Symmetrical Bases 289 

19 Introduction 291 

20 Major Triad 293 

21 Minor Triad 305 

22 Major Seventh 317 

23 Minor Seventh 333 

24 Half Diminished Arpeggio 345 

25 Common Pentatonic 359 

26 Major Scale 385 



CONTENTS 



Introduction 



Nicolas Slonimsky's Thesaurus of Scales and Melodic Patterns has been cited by 
creative musicians as different as Arnold Schoenberg, John Coltrane, Frank Zappa 
and Buckethead as a source of advanced material for the contrustion of melodic lines 
and dizzying solo patterns. Yet it's a pretty difficult book for the average guitarist 
to get into, and it definitely wasn't designed with the instrument in mind. It's fair to 
say that it's more often talked about than read, and a lot of musicians have a copy 
on their shelves with which they've made very little progress. 

This book has two aims. The first is to present the main idea behind the first 
twelve chapters of Slonimsky's book in a way that's accessible and logical for the 
modern musician. The second is to present some patterns based on this idea in 
both standard notation and guitar tablature, organised according not to Slonimsky's 
rather abstract octave divisions but to note-content, a far more useful method for 
most purposes. The patterns presented here are different from those in the The- 
saurus, which this book aims to supplement. 

I've felt at liberty to completely reinvent Slonimsky's language and theoretical 
approach in order to make the material more accessible. It's important to me that the 
reader doesn't just have to play these patterns 'blind' and hope to get something they 
want to memorise. I want you to understand the theory well enough to understand 
Slonimsky's patterns from the inside out and be able to generate them on the fly 
without relying too heavily on rote. That said, you're free of course to skip the 
theory and dip into the book at random - that may even be a good way to start 
engaging with this material, especially if you find the theory a bit dry. 

Like Slonimsky I've presented these patterns as unbroken runs of sixteenth- notes. 



CHAPTER 1. INTRODUCTION 



One pitfall of this is that it attracts the complaint that the material is 'unmelodic'. 
The key word in the title is not, however, 'melody' but 'melodic pattern'. Rhythm, 
tone, phrasing, style and so on are entirely up to you to come up with. Many people 
who use Slonimsky patterns use them to generate fast runs but you may also find 
they inspire more tuneful material. As with anything worthwhile, it's there to be 
worked with. 

Students may find my previous book, Scale and Arpeggio Resources for Guitar, 
useful for filling in some scale theory and providing standard CAGED fingerings for 
all the scales used in this book. 

1.1 Slonimsky 's Recipe 

Everything we will be dealing with is based on one fairly simple concept that under- 
pins first twelve main chapters of Slonimsky's Thesaurus. It's a recipe for making 
a certain kind of melodic pattern. It's a slightly complicated recipe and I'll spend 
much of this chapter doing my best to make it absolutely clear to you what the recipe 
is and how to use it. The rest of the book will work through the various kinds of 
result it can produce. The recipe is my own description, in my own terms, of how to 
generate the patterns Slonimsky generates, and many more; it is not an attempt to 
restate or reconstruct his own theory about what he was doing, which can be found 
in the introductory chapter of the Thesaurus. 

So what was Slonimsky's big idea? As I said, it's a recipe, but it's complicated 
because it's a bit like two recipes, one inside the other. The first gives you a system 
of 'base' pitches and the second recipe fills in additional pitches within this structure. 
The first is a bit like an architectural plan and the second is more like the decoration. 
I call these the base and the ornament 1 . The two steps are to first build the base 
and then use the ornament repeatedly to 'decorate' it. The fundamental idea is that 
the base is a set of notes and the ornament is a pattern (like a fingering shape on 
the guitar); we move the pattern from one note of the base to the next and play it 
each time before moving on. Let's see how this works in detail. 

1.1.1 Stage One: Constructing the Base 

First take a certain number of octaves - that is, usually, all the notes between some 
C and a C that many octaves above it, including the bottom C but not including 



1 Almost all the terminology in this book is mine, not Slonimsky's. His own terminology seems unnecessarily 
alienating to me, but of course your mileage may vary. 



1.1. SLONIMSKY'S RECIPE 



the top C. Here, for example, we've taken 2 octaves: 




Now you'll find there are a limited number of ways you can divide these notes up 
into equal parts. Our two octaves contain 24 notes, which can be divided into three 
equal parts by grouping the notes in eights: 




or 12 equal parts by grouping the notes in pairs: 




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jjUjjJJJiUWi"^ 



or into 8 equal parts by grouping in threes: 




It can also be split into 6, 4 or 2 , but there are no other ways to split up 24 notes 
into equal parts (because 24 = 2 3 x 3). What Slonimsky does next is take just the first 
note of each grouping and throw away the rest, so that the last grouping into 8 equal 
parts would become this (compare it with the grouping above). You may recognise 
it as the diminished seventh arpeggio played twice (i.e. up two octaves), and a little 
reflection on how it was arrived at will show that this is not very surprising: 




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In general, Slonimsky's first recipe works as follows. First take a certain number 
of octaves. Then divide them into equal parts: the first note of each part goes into 
the 'base'. That's all there is to it. In our example we took two octaves and divided 
it into eight equal parts; Slonimsky is interested in all the possible ways to do this. 
The resulting base gives us the 'input' or raw material for the second recipe. 



CHAPTER 1. INTRODUCTION 



1.1.2 Stage Two: Adding the Ornament 



OK, so the first recipe has provided a base - a set of notes that we now want to 
ornament in order to make our musical material more interesting. This works a bit 
like ornamentation does in many other places, by creating a simple pattern and then 
repeating it. It probably won't surprise you to know that the repetitions will be 
governed by the notes in the base we've just cooked up. 

The pattern we'll use will be something fairly simple that begins with each 'base 
note' in turn, and stays exactly the same as we move it around. So we don't change 
the pattern to fit, say, a diatonic major scale. You can do that if you like, but that's 
not the Slonimsky way. The pattern always stays the same, every time. 

Let's work with a concrete example. Here's a way to play the base we just created 
on the guitar, starting at C: 



,33- 



-8-11- 



10- 



-8-11- 



-10- 



and here's a simple pattern of notes we could use for ornamentation: 



,33- 



-8-10-11-10- 



What we want to do is take that little pattern and use it as a stencil, making 
the same pattern appear in the place of each base note. You may find the following 
fingering a bit awkward, but try it out slowly and match it up with the base: 



,33- 



-8-10-11-10-11-13-1413- 



-91112-11- 



-7-910-9 



,33 



10-12-13-12- 



-8-10-11-10-11-13-1413- 



10-12-13-12 



You probably have to play this on the guitar to get the idea. First play the base, 
then play the ornamented version and notice how the same four-note pattern keeps 
repeating, each time starting on a different note from the base. This, and only this, 
is what the first twelve chapters of Slonimsky's Thesaurus are about. That's it: 
make a base, which Slonimsky prefers to be constructed using his 'first recipe' (as 
I've called it), then ornament the base in the way just described. This is Slonimsky's 
Big Idea. 



1.2. THE BASIC ORNAMENTS 



1.2 The Basic Ornaments 

The guitar has a great advantage over many instruments for applying Slonimsky's 
ideas, which is that the patterns for ornamentation mostly remain the same and 
simply move from one place to another on the fingerboard as you go up or down 
the whole pattern. This may sometimes be physically awkward but at least it's very 
easy to visualise what to do next. In order to approach the material in this book 
logically, and in order to provide some technical practice, it's worthwhile isolating 
these ornaments and examining them systematically 2 . 

We'll consider an ornament to be composed of two parts: a layout and a sequence. 
The layout gives you a small pattern of notes on the fingerboard, while the sequence 
tells you which order to play them in. The base tell you how to move the pattern as 
you repeat it. 

1.2.1 Layouts 

We will only consider layouts that can be played on a single string within a span of 
six frets. Those that lie within four frets will be comfortable for all players anywhere 
on the fingerboard; five- and six-fret stretches are generally difficult except above 
the twelfth fret unless two-handed tapping is used. Tapping does allow for signifi- 
cantly larger layouts than these of course, but they would bulk out this book very 
significantly without adding much in terms of usability. The fingerings in this book, 
however, will avoid large stretches by using string- crossing in order to keep the main 
patterns within a single, practical position. Players who enjoy stretching or working 
out tapping sequences will be able to adapt the fingerings given to suit their tastes 
and may want to explore layouts that span larger intervals. 

Since we have seven frets (six plus the one we're starting on), we in theory have 
the following numbers of layouts: 



1 note 


1 layout 


2 notes 


6 layouts 


3 notes 


15 layouts 


4 notes 


20 layouts 


5 notes 


15 layouts 


6 notes 


6 layouts 


7 notes 


1 layout 



2 Note that Slonimsky does this completely differently and arrives at somewhat different results. 



CHAPTER 1. INTRODUCTION 



giving 64 possibilities in all. Not all possibilities are equal, however: the 5-, 6- 
and 7-note layouts in particular are rather dull, containing as they do long runs of 
chromatic notes. For this reason we'll exclude them from our consideration, leaving 
42 possibilities in all. It's worth noting that Slonimsky doesn't include such patterns 
in the Thesaurus either. 

So what are the remaining 42 layouts? Here's a complete list. Each horizontal 
line can be thought of as a string and the short vertical lines as frets (an example 
follows that should make this clearer). 



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As an example in understanding these layouts, we can use this layout: 



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to play any of the following patterns 












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A 








*B 








1 5—7—8 ! 


1-5—8—7—8—1 







Play these on the guitar if necessary to see how in each case the same relationship 
between the notes is present, even though the pitches and the order in which the're 
used is different. This is the key to the idea of a layout - it's a pattern of notes that 
can be moved around and played in any order you like. This is the basic ingredient 
of our ornamentation. 



1.2. THE BASIC ORNAMENTS 



In some cases it may be useful to make a distinction between layouts that span 
at most four frets and those that require an out-of-position stretch if they're to be 
played on a single string. The former will always be treated first and called standard 
layouts; the others will be called stretch layouts. Here are the two classes of layouts 
so you can see the difference: 



Standard Layouts 



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Stretch Layouts 



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1.2.2 Sequences 

Like Slonimsky, we insist that every ornament must start with the base note it's built 
on, and that this must be the lowest-pitched note in the layout - that is, all valid 
sequences start with a '1'. This means we don't have to worry about modal equiv- 
alences between different patterns (there won't be any) but we can still arrive at all 
the patterns we would have been able to anyway Unlike Slonimsky, we'll allow some 
repetition of notes within an ornament, because that's quite strongly characteristic 
of a number of guitar styles and can create interesting sounds. Obviously, though, 
there has to be a limit to how many repetitions we'll allow, otherwise a sequence can 
go on forever. 



CHAPTER 1. INTRODUCTION 



We choose four notes as our limit in this book. This would be enough to reproduce 
all but a few of Slonimsky's patterns and a huge number that he doesn't include. 
For a given layout we'll number the notes it contains sequentially. So if we take this 
layout: 



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this pattern will be called 123: 



,33- 



-5—7—8- 

this will be called 312: 



,33- 



-8- 



-5—7- 

and this will be 2313: 



^ 



-7—8—5—8- 



We will also impose the rule that any sequence applied to a layout must use each 
of the layout's notes at least once (this avoids manifestly silly cases such as a four- 
note layout with a three- note sequence). A simple exercise in combinations tells us 
that we have the following possible sequences for each type of layout: 



1 note 1 

2 notes 12, 21, 121, 212, 1212, 2121 

3 notes 123, 132, 213, 231, 312, 312, 

1213,1231,1232,1321,1323,1312, 
2123,2131,2132,2312,2313,2321, 
3121,3123,3132,3212,3213,3231 

4 notes 1234, 1243, 1324, 1342, 1423, 

1432, 2134, 2143, 2314, 2341, 
2413, 2431, 3142, 3124, 3214, 
3241, 3412, 3421, 4123, 4132, 
4213, 4231, 4312, 4321 

Combining sequences with layouts we arrive at the final counts for the numbers 
of possible ornaments: 



1.3. APPLICATION TO SYMMETRICAL SCALES 



1 note 1 

2 notes 36 

3 notes 360 

4 notes 480 



These are certainly large numbers: for any given base we have a total of 877 
possible ornaments to consider. In practice we find that it is somewhat fewer than 
this in many cases, since we will follow Slonimsky and disallow any pattern that 
contains consecutive doubling of the same pitch. We will not follow Slonimsky as 
far as excluding any sequence that includes the next note from the base anywhere 
within it, since these do have musical applications. In any case, in this book the 
aim is to present a selection of possibilities without trying to be exhaustive, safe in 
the knowledge that the reader who has understood the recipe can construct as many 
additional patterns as they require 3 . 

With practice this can be done improvisationally, too. Once you have the idea 
of playing a fixed ornament on a symmertical base, and you know how to play the 
bases in question, it is quite easy to come up with ornaments on a chosen base ad lib. 
This may be a worthwhile goal to pursue, depending on the type of music you play 
and the importance of improvisation within it; some players will prefer to develop 
this material in advance, allowing for greater complexity and, of course, speed. 



1.3 Application to Symmetrical Scales 

A recipe like this one is all well and good, but many students who've heard a lot 
of talk about the Thesaurus wonder why such a weirdly mechanical idea might be 
worth studying and how its results might be applied. 

Slonimsky himself was a great defender of musical modernism and his idea was not, 
therefore, originally intended for use by jazz, rock or pop musicians who still mostly 
work with harmonic structures composed of triad-based chords in conventional ar- 
rangements. Nor, though, is it especially applicable to serialism, which became the 
dominant language of the international modernist style. If Coltrane hadn't found 
inspiration in it, the system may have remained an obscure historical curiosity, a 
road not travelled in the annals of the experimentation of the mid-twentieth century. 
There are plenty of others whose company it could have joined. 



3 Slonimsky 's original book does not contain all of the possibilities offered by his own system either, despite some 
claims others have made to the contrary. 



10 CHAPTER 1. INTRODUCTION 



Surprisingly, although the Slonimsky recipe as I've described it is capable of pro- 
ducing an extremely large number of patterns they can be grouped into a rather 
small number of categories based on which chord tones they contain. This will be 
a key analytical tool used in this book, since even those who are working outside 
the tonal idiom may find it helpful in determining the sounds involved, and those 
working within it will find it indispensible. 

As an example of what I mean, consider this fairly typical pattern: 




fJ^JJJ l tJFJ^ 



If you look at the pitches used, you'll find they are C, Cjj, D(j, E, F)J, G, A, Bb, 
which is the Half- Whole Tone Diminished Scale in the key of C. You can therefore use 
this pattern anywhere where you might use this scale; you're playing the scale, but 
perhaps using a pattern you wouldn't have thought of before. It should be obvious 
that all patterns that contain all and only the notes of this scale share something very 
important in common. Because of this, this book's chapters organise the patterns 
by note-content, not by the base as Slonimsky does. 

When studying the patterns in this book it may help to concentrate on one or 
two of these at first, since they share a common sound. If, on the other hand, you're 
interested in hearing how much variety the recipe is capable of producing, try picking 
one or two patterns from each chapter instead. 

Rather than starting with a twelve-tone conception as Slonimsky did, I'm guessing 
you'll be used to thinking in terms of scales and arpeggios when playing, and that 
starting there will be rather more helpful. As a consequence, the first part of this 
book is devoted entirely to patterns that result in a set of notes that form a scale 
(well-known or not) other than the chromatic scale. In the second part we look at 
some patterns that produce all twelve tones. 

1.3.1 Notes on the Way Things are Laid Out 

The fingerings for the melodic patterns are generally given starting from C at the 
eighth fret and ascending only. They remain strictly in position except for a few high 
notes that require position shifts. In these cases you will never see a note on the 
frets below the eighth fret, even when this can make the fingering decidedly easier. 
There are a few reasons for this, but the main one is consistency; since you will soon 
come to know what to expect, you can experiment with any fingering in order to 
vary it to your tastes. The fingerings as given are certainly not intended to be the 



1.4. SUMMARY 11 



most efficient or convenient; they are simply easy to understand on a first reading. 

In order to make the larger patterns playable on the guitar octave transpositions 
have frequently been used; Slonimsky never does this, using alternative fingerings 
you will be able to construct runs that cover more octaves than those included 
in this book, but the way the runs change direction when a transposition takes 
place seems to me to be attractive as well as sometimes yielding some interesting 
fingerings. As with everything else, you are at liberty to experiment with different 
octave placements of notes, and if you play an instrument other than guitar you may 
even find it technically advantageous to do so. 

In order to save space I have given all patterns in the ascending form only. To 
play them descending simply play the notes in exactly reverse order. Although a 
little awkward at first it's very easy to develop facility at reading them backwards. 

Each chapter in the first part is, as I explained above, devoted to patterns that 
contain all and only the notes of some known scale or arpeggio; the second part 
contains patterns covering the total chromatic and the third introduces the idea 
of non-symmetrical bases, which are explained there. Within each chapter in the 
first part I have grouped the patterns by the interval by which the base moved 
before octave transpositions become necessary. Each pattern is headed with a visual 
representation of the layout and sequence to aid interpretation. 

1.4 Summary 

Slonimsky's Big Idea, which occupies the twelve chapters of the Thesaurus that con- 
cern us, is to build a base using a symmetrical (that is, equal) division of several 
octaves and then decorate that base with an ornament. We have analysed an or- 
nament into a layout and a sequence that, when combined, tell us how to decorate 
each note in the base. This will generate thousands of patterns for us to experiment 
with, and a selection of those patterns are presented in the next chapters. 



12 CHAPTER 1. INTRODUCTION 



Parti 

Symmetrical 

Scales 



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Augmented 
Arpeggio 



2.1 Augmented Fifth 



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16 CHAPTER 2. AUGMENTED ARPEGGIO 




Diminished 
Seventh Arpeggio 



3.1 Major Sixth 



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CHAPTER 3. DIMINISHED SEVENTH ARPEGGIO 



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CHAPTER 3. DIMINISHED SEVENTH ARPEGGIO 



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-10 13-10 10 1310- 



^5 9 



-8 11-8-11 11- 



10 10 

-12-9 9 12-9-12 12 



11—8 8 11-8-11 11- 

10 10 



l ° l I l ° l I l ° l [1,2,3,1] 



J|J * J J- 



m 



te. 



^nrr'rr i r'r'rr^ r rr r rr r rrfr i 



— ii — 

10 1013 1013 10- 



10 10- 



-33 9 9-12 9-12 9-12 12 



8—11 8-11 8-11 11- 

hlO 10 



-8—11 8-11 11- 



| o | I | o | I | o | [1,3,2,3] 



, , ±*±J*±t: 



3.3. DIMINISHED FIFTH 



21 



3.3 Diminished Fifth 



o o 



[1,2,1] 



P 



Jlr'rr l 'cX 



W 



-10- 



-10- 



^5- 



-8—11-8- 



-9-12-9- 



10 10 



11 11 8 11 11 

10 10 



| o | I | o | I | o | [1,3,2] 



^n 



T1 Jr^ i tt 



10 lO- 



ll— 8- 



-35 9 9 12 

8 11 



1310 1310 



11 11—8-11- 

10- 



l ° l I l ° l I l ° l [1,3,2,1] 



TT]Jn Tr M t 



3nr 



11—8- 



M 9- 



-8 11-8- 



10 10 10- 

-9 12-9 



1310- 



1310- 



11 11 11—8 11 11 

10 10 



HsH — — \Oi 



m [1,2,3,1] 



g%*r»r r i » el 



# 0- 



i 



sp^ 



-8—11- 



1013- 



1013- 



,33- 



-8—11 8- 



-9 9-12 9- 



-10 10 lO- 



ll 11 8-11 11 11- 

10 10 



22 



CHAPTER 3. DIMINISHED SEVENTH ARPEGGIO 



^ 



IP 



| o | I | o | I | o | [1,2,3,2] 

g n^ r^r^f r I ^&£&^ r^r r r £ 



10 ID- 



'S— 11-8- 



-35 9 9-12 12 

8—11 11 



-11- 



10-1310- 



-10- 



-8-11-8-11- 



10-1310 




Dominant 7 b5 
arpeggio 



4.1 Diminished Fifth 



o o 



[1,2,1] 



m 



■it 



*r fYr rr rl s 



l^P 



,33- 



-8 10 10- 



-9 9- 



-11- 



-11- 



1 1 11 9 1 1 1 1 

10 10 



-8-12-8- 



HsH — — — heH — h&^ 



[1,3,2] 



P 



Sri Jff i * 



ft 



^s- 



9 9- 

-8 12 



10—8-10- 



11-9- 



13-11 1311 

1 1 11-9-1 1 

10 



23 



24 



CHAPTER 4. DOMINANT 7 \>5 ARPEGGIO 



Hs4 



| Q | P I [1,3,2,1] 



a 



jmJr rr | »rPg 



# — i* 



i 



HF^ 



11-9- 



-35 9 9 9 



10—8 10 10- 



13-11- 



-13-11- 



11 11 11-9 11 11 

10 10 



-8 12-8- 



HsH — — — he4 



m [1,2,3,1] 



3irr»rr i »rTr rrrrrrr 



ws 



1 



-9—11- 



^5- 



-9 9 9- 



-8-10 10 10 



-11-13- 



-11-13- 



-11 11 9-11 11 11 

10 10 



-8-12 8- 



\Oi 



\^^\ [1,2,3,2] 



^ 



%f r \ %T* 





-£- 



9 9- 

-8-12 12 



-8-10-8-10- 



-9—11-9- 



-11- 



-11-13-11- 



-10- 



-9-11-9-11- 



-11-13-11- 




Whole Tone Scale 



5.1 Whole Tone 



\B\ 



\°\ [1,2,1] 



m .n 



i 



s 



= p = 



^5- 



-n- 



-8- 



-8 8 10 10 12 12- 



10 12 8 8- 

-9 9 11 11 



. fe . a if i f *r f i ig j r itr f r *r -^ 



-li- 



-li- 



-9 9- 



^ 



-10 10 — 12 12- 



10 12 

13 9 9 11 11- 



11 11- 



25 



26 



CHAPTER 5. WHOLE TONE SCALE 



O O 



[1,2,1] 



rn j * 



? 



? 



^8- 



-9 11- 



-8 12 8 10 10 12 12- 



8 10 8 12 8- 

-9 9 11 11 



i r j P fe r ■ | g I >[» *p [» | f | » i 8 ^^ 



-9 11 9 9- 



^5- 



-10 10 12 12- 



10 

11 9 13 9 11 11- 



11 11- 



o o 



[1,2,1] 



m 



m 



^5- 



-8 10 8 10 12 10 12 12- 



-9 11 9 11 11- 



-8 8 10 8- 



»r r I » p ftp r r *T r r f ^ 



^5- 



-10 12 10 12 12- 



-9 9 1 1 9- 



-9 9 11 9 11 13 — 11- 



11 11- 



5.1. WHOLE TONE 



27 



O O O 



[1,3,2] 



m 




±* 



4 



.93- 



-8 12 — lO- 



ll 9- 



-12- 



11- 



10 8 12 — 10 8 12- 

11 



* r r f *lj r JC_r i * r ^Lfr 'r f f r 



11 9 11 9- 



11 9- 



,33- 



-10 12- 



-10 12 — 10- 



-11- 



13 11 9 13 — 11- 



\o\ 



| Q | P I [1,2,3] 






^=*4 



.33- 



9 9 11 11- 

-8 12 10 12 



-8 10 10 — 12 8 12- 

11 



tt r , r * r r r *r i fr *r f fr f f £ 

— — ^_ — — ^_ ^ ^ E 




^ 



9 11 11 9- 

10 12 



-9 9 11- 



-11- 



1 1 13 9 13 1 1- 



10 10 — 12- 



28 



CHAPTER 5. WHOLE TONE SCALE 



Hs4 



\<^oi [1,3,2,1] 



mm 



p 



# 



^5 9- 



-8- 
-11—9 11- 



-8 12—8—10 10-12 12- 



10 8 12-10 8 12—8- 

-9 9 11 11 



| r r r tt f r r g »r r g - ^ | »p g 1 1 1 g | f f g - 



11—9- 



11—9 11 9 9- 



^5- 



-10 10-12 12- 



10 12-10- 



13—11 9 13—9—11 11- 

11 11 



^+ 



\o^e] [1,2,3,1] 



n.fT? 



J J g J I p ft 



s^? 



^3- 



-9 9 — 11 11- 



-8- 



-8—12 8—10 10-12 12- 



8—10 10-12 8—12 8- 

-9 9 11 11 



r r tt r r r r tt r r r r ^r r ■ tt r ^r f r tt r f = r r f f r I 



-9 9 — 11- 



-9 — 11 11 9- 



^5- 



-10 10-12 12- 



10 10-12- 



11—13 9—13 9—11- 

11 11 



11- 



5.1. WHOLE TONE 



29 



Hs4 



| Q | P I [1,2,3,2] 




^5- 



9 9 — 1 1—9 1 1 1 1- 

-8—12 12-10 12 



8—10—8 10-12-10—8—12 12- 

-9 11 



r * r r r r ir_ r r fJT_f i * r *r f r rt r = fy =l 



-9 — 1 1—9 11 1 1—9- 



-9 9 — 1 1—9- 



^ 



10 12- 



11- 



11-13-11 — 9—13 13-11- 



10 10-12-10- 



^+ 



\o^e] [1,3,2,3] 




-9 9- 



m 8 8 " 

-33 9 9 11—9—11 11 



-8 12 10- 



12- 



10 8—10 12-10-12—8 12- 

-9 1 1 



* r r r r * f ' r J r^trf i * r f *r^ tt p == I = 1 




-9 9 11—9—11- 



^5^ 



1 1—9—1 1 1 1 9- 

10 12 



10 10 12-10-12- 



-11- 



13—11-13 — 9 13 11- 



30 



CHAPTER 5. WHOLE TONE SCALE 



O O 



m [1,2,3] 



* 




¥^ 




^5- 



11 9- 



-8 10 10 — 12 12- 



-9 11 11- 



10 8 12 8 10- 



H rfjj rjJl i ^y^ rjr_ ^^ 



^5- 



-10 — 12 12- 



11 9 9 11- 



-11- 



-11- 



10 12- 

-9 13 9 11 11 13 



\&\ — H3H- 



\®\ [1,3,2,1] 



j. i i n 



p 



^5 9- 



-li- 



-10- 



-8 10—8—10 12-10-12 12 



12 8 8 10—8- 

-9 11—9—11 11 



%r , .J 



k fH r rf*rr r i 



-ii- 



-li- 



^ 



-10 12-10-12 12- 



-9 9 11—9- 



10 12- 



13 9 9 11—9—11 13-11- 

1 1 1 1 



5.1. WHOLE TONE 



31 



O O 



m [1,2,3,1] 



m^ 



§ J %* J * % *> * 



#^ 



,33- 



-9- 



11 9- 



-8- 



10- 



-8—10 8—10-12 10-12 12- 



8—12 8—10 8- 

-9 11 9—11 11 



*rfr rffr i 



-li- 



1 1 9 9—1 1 9- 



,33- 



-10-12 10-12 12- 



10 12 

9—13 9 — 1 1 9—1 1—13 11- 

11 11 



heH — ^h- 



m [1,3,2,3] 



# — : 0- 




P 



4 



-9 9- 



m 8 8 " 

-93 9 9 11 11 9- 



-8 10 10 12 12- 



10 10 12 8—12—8 10- 

-9 11 11 



* r r r r * f >r r ^r r f i tf r f ^ rfrf^rfrff 



^ 



9 9 11 11- 

11 11 9 9 11 

10 12 12 



11- 



10 10 12 12- 

13 — 9—13—9 11 11 13 



32 



CHAPTER 5. WHOLE TONE SCALE 



o o o 



[1,2,3] 



4 



I 



^3- 



-9 9 11- 



-8 10 — 12 — 10 — 12 12- 



-9 11 11- 



-8 8 10 8 10 12- 



*r r_xif i H H H r r f r i 



10- 



^3- 



-10 — 12 12- 



-9 9 11 9 11- 



-11- 



-9 11 9 11 — 13 — 11 — 13- 



\Q\ — H3H — \Bi 



[1,3,2,1] 



IP 



m 



jf J A * w 



^3- 



-11—9- 



8—12-10—8—10 12-10-12 12 



8 10—8 8—12-10—8- 

-9 11—9—11 11 



» . , h| »p it |> p f f f f r f -ffh 



^ 



-10 12-10-12 12- 



11—9 9 11—9- 



10 

11 9 9—13-11—9—11 13-11- 

11 11 



5.1. WHOLE TONE 



33 



o o o 



[1,2,3,1] 



PP 



ft J P ft 



? 



^5- 



-9 9 11- 



8—10-12—8—10-12 10-12 12 

i 



8 8—10 8—10-12—8- 

-9 11 9—11 11 



* r r i * r tt r *r r r r f r 1 1 ^ 



10- 



-9 9 — 11 9—11 9- 



^5- 



-10-12 10-12 12- 



9 1 1 9—1 1—13—9—1 1—13 11- 

11 11 



hen — HsH — he+ 



[1,3,2,3] 



J. J J J 9=fc 



jf J 8 * % < > * * * 



^5- 



-9 9 11—9—11- 



-8—12-10-12-10 12 12- 



8 8 10—8—10—8—12-10-12- 

-9 11 11 



r rr rr*r rr r tt rr r i *r*T*rfrfrf £ £^ 



-9 9- 



10 10- 



^ 



9 9 11—9—11—9 11- 

10 12 12 



11- 



11 9—11—9—13-11—13-11 13- 



:U 



CHAPTER 5. WHOLE TONE SCALE 



HB4 



| Q | | o | | o | [1,4,2,3] 



1 



g _ ■ 



=P^ 



# 



-95 9 1 1 9 9—11- 



-8 10-12-10 12 12- 



10 8 12—8—10—8 10-12- 

-9 11 11 



A f r r r i* rjpj > r *p £ g | a r f ftp *p r f r f g f f f i 



-9- 



11 9- 



1 1 9 9—1 1—9 1 1- 



^5- 



10 12 12- 



10- 



12 10- 



11- 



13 9 — 11—9 11—13-11 13- 



| o | | o | | o | | o | [1,2,4,3] 




^5- 



9 11—9 9 11- 

-8—10 12-10-12 12 



10 — 8 8—12-10—8—10 12- 

-9 — 11 11 



. % T r . r § r r r r #r r i tt f jrf l 



1 1—9 9 1 1—9—11- 



11—9- 



^ 



10-12 12- 



10 12-10- 



11- 



-9—13—11—9—1 1 13-1 1-13- 



5.1. WHOLE TONE 



35 



\o\ 



| Q | | o | | o | [1,3,2,4] 




3± 



-9 9 11 11—9- 



-8 10 10—8—12—8—12-10- 



-8—12-10 10 12 12- 



-9 11 11- 



^ r r i k r r r *r I * r ^T!r f r f f f f f £ 




-9 9 11- 



-9 11 11—9 9 1 1- 



^ 



-10 12 12- 



-11- 



10 10 12- 

-11 — 9—13—9—13-11 11 13 



| o | | o | | o | | o | [1,2,3,4] 



* ff * J » * A » * * ^ ff* A * - 




^ 



9 9 1 1 9—1 1- 

-8—10-12 10-12 12 



8—10 8—10-12—8—10-12- 

-9 11 11 



* r r r fir r r fir i * r rt f *r f r r f I = 



-9 9 — 11- 



-9 — 11 9—11 9—11- 



^ 



-10-12 12- 



10 10-12- 



11- 



-9 — 1 1—13—9—11-13 1 1—13- 



:->,() 



CHAPTER 5. WHOLE TONE SCALE 



5.2 Augmented Fifth 



\Oj 



t°l [1,2,1] 



m& 






-11- 



-9 9 



12- 



^B 9 11 11- 

8 8 



\o] — \o\ 



[1,2,1] 



g gP 



-9—11-9- 



^5- 



-8-10-8- 



11 11- 



HSH 



\^r^\ [1,3,2] 



P 



*fel 



-11—9- 



^ 9 11 

8 12 



12-10- 



\m — — — \m — \o\ 



[1,2,3] 



|^^P 



Mr- 



-9—11- 



-£- 



-8-12- 



-9—11- 



1012- 



5.2. AUGMENTED FIFTH 



37 



\Oi 



m-\e\ [1,3,2,1] 



?mM 






-11—9- 



-9 9 



-12-10- 



^33 9 ii li- 

8 12-8 



o o 



m [1,2,3,1] 



n r¥r 



m^ 



9—11 

-9 9 



,33- 



-8-12 8- 



1012 

-9 11 11- 



\o\ 



| Q | P I [1,2,3,2] 



iete 



=3f 



-9—11-9- 



.93- 



-9 11- 



10-1210- 



-8-12 12- 



\Oi 



\e^O] [1,3,2,3] 



P 



^^m 




11—9-11 



.93 9 9—11 

8 12 



121012- 



38 



CHAPTER 5. WHOLE TONE SCALE 



[O] — \B\ 



m [1,3,2] 



SA 



p 



■ "J 1» 



1 



-li- 



-9 11 



-95 9 n 

8 10 



12—8- 



\o\ — \o\ — — — \e\ 



[1,2,3] 



# 






-11 



^5- 



-8-10- 



-9—11- 



-8-12- 



-9—11- 



o o o 



[1,3,2,1] 



CT f tf) 



I 



p 



-11- 



-12—8- 



-9 11-9- 



-93 9 11 11- 

8 10-8 



heH — ^H- 



N [1,2,3,1] 



l j Hj» J tt' 



T1 4r ¥ 



8-12- 



11 — 

-9—11 9- 



-& 9 11 11 

8-10 8 



5.2. AUGMENTED FIFTH 



39 



\Oi — [Bi 



\0\ [1,2,3,2] 




A r H r 



% 



-li- 



^5- 



-9 11- 



-8-12-8- 



-9—11 11- 



-8-10 10- 



\Q\ — \Q\ 



\e\ [1,3,2,3] 



$Hr^- 



3* 



-li — ii- 



^95 9 9—11 

8 10 



12—8-12- 



-9 11- 



\o] — heH — he+ 



[1,3,2] 



w \r*rt 



-9 11- 



^ 



-8-12-10- 



-11- 



10—8- 



\o] — \e\ — he+ 



[1,2,3] 






.33- 



-8-10-12- 



11- 



-8-10- 



-9—11- 



40 



CHAPTER 5. WHOLE TONE SCALE 



o o o 



[1,3,2,1] 



J, J i J l ft 



P 



^3- 



-8-12-10-8- 



10—8 

11 11- 



-9 11-9- 



o o o 



[1,2,3,1] 



T \ r¥ 



P 



^8- 



-8-10- 



-9—11 9- 



-8-10-12-8- 



11 11- 



\B\ — \0] — \0{ 



[1,2,3,2] 



., UYT \ M 



^3- 



-8-10-12-10- 



11- 



-8-10-8- 



-9—11 11 



\B\ — heH — \B\ 



[1,3,2,3] 



TT1 Mr 



-9 9- 



^5- 



-8-121012- 



11- 



10—8-10- 



-9 11- 



5.2. AUGMENTED FIFTH 



41 



W* 



wm 



o | | o | | o | | o | [1,3,4,2] 



-9—11- 



H 9 11 



10-12—8- 



-9 11 



-8-12 10- 



o o o 



m [1,4,3,2] 



3* 



Jgto 



11—9- 



H 9 11 

8 1210 



1210—8- 



-9 11 



P 



o | | o | | o | | o | [1,4,2,3] 



11 9- 



H 9 11 

8 10-12 



12—8-10- 



-9 11- 




Q | | o | | o | | o | [1,2,4,3] 



H 9 11 

8-10 12 



-8-12-10- 



-9—11- 



-11—9- 



42 



CHAPTER 5. WHOLE TONE SCALE 



o | | o | | o | | o | [1,3,2,4] 



-9 11 



■&- 



-8-1210- 



-9—11- 



10—8-12- 



-9 11- 




o | | o | | o | | o | [1,2,3,4] 



^ 



-8-1012- 



-9—11- 



-8-10-12- 



-9—11- 



-9—11 



5.3 Major Third 



| o | I I I I | o | [1,2,1] 



m i r*frr it rr tt r g 



jlHjJ"'J»' " 



-35 9- 



-8 12- 



-8 8-12 12- 



11 11- 



11 9 9- 



-10 — 
-11 9 9- 



10 10- 



o o 



[1,2,1] 



SI}WM* d 



r»r rt'r'rr 



,33- 



-8-10-8-12 12- 



-9 11 11- 



101210- 



-9—11-9- 



-9—11-9- 



5.3. MAJOR THIRD 



43 



HSH 



| | P I [1,2,3] 






fe r * r*r 



-10 



^B 9 11 11 



8 10-12 



-8-12 12- 



10- 



-9—11-9- 



-9—11-9-13- 



\Bi 



\O^B] [1,3,2,1] 



^ i r«rrrr^r H#ft 



§TO 



^5 9 



-8 1210- 



11 11 11- 

8 12-8-12 12 



10- 



1 1—9 9 13-9- 

11-9 9 9 



10 10- 



\Oi 



m-w [1,2,3,1] 



^ i rr«rrr'r^ f#ffi 



i« 



10- 



^5- 



-8 10-12 

-9 11 11 11- 



9—1 1 9-13 9- 

-9—11 9 9 



10 10- 



-8-12 8-12 12- 



\Oi 



| Q | P I [1,3,2,3] 




-8 12 12 



44 



CHAPTER 5. WHOLE TONE SCALE 



[O] — \B\ 



m [1,3,2] 



^ i j f , JM 



i 



3? 



10 — 
-11 9 11- 



-^ 8 12-8- 

-9i 9 9—11 



-8 10-12- 



-11 9 11- 



10 12- 



\o] — teH — — — \o] 



[1,2,3] 




* r r r jfofrf 



-Q 9 9 1 1 



8 8-12- 



-10-12- 



11-9-11- 



11—9-11- 



10- 



-8-10 12- 



O O 



N [1,3,2,1] 



# 



griuttf 



M- 



^ 



-95 9- 



-8 10-8-12 12- 



-8 12-8 

-9 11 11- 



11 9 11-9- 

10 1210 



10 

11 9 11-9- 



O O 



m [1,2,3,1] 



m 



Shj| 



*t 



g£* 



^5- 



8 8-12 

9 9 1 1 1 1- 

-8-10 8-12 12 



1012 lO- 



ll 9-11 9- 



10 

11 9-11 9- 



5.3. MAJOR THIRD 



45 



o | | o | I I | o | [1,2,3,2] 

fe ^ r »r r it rrfr 




zm 



^#^ 



— 10 — 
11 9-11 11 



^5 9 9 9—1 1 



8 8-12-8- 



-8-10 1012- 



11 9-11 11- 



1012 12- 



o o 



m [1,3,2,3] 




8 8 12-8-12- 



-33 9 9 9 1 1 

8 10 12 



10 lO- 



ll 11-9 11- 



11 11—9 11- 



10 12- 



\B] — \B] — \Bi 



[1,3,2] 



1 



» r» r rf*r 



i*# 



^5^ 



-8-121012- 



11—9-11- 



10—8- 



-9 9 11- 



-9 9-13-11 



10 12- 



heH — [o] — he4 



[1,3,2,1] 



m 



ttrtfr r rf TT l 



JJJJJWJ 



^5- 



-10—8- 



-9 9 11-9- 



-9 9-13-1 1-9- 



11—9 11 11- 

-8-1210-8-12 12 



10 1210- 



4(> 



CHAPTER 5. WHOLE TONE SCALE 



o o o 



[1,2,3,1] 



1 



'r'frr m i 



^S 



^3- 



-8-10- 



9—1 1 1 1 1 1- 

-8-10-12-8-12 12 



1012 10- 



-9 9—11 9- 



-9 9—1113-9- 



o o o 



[1,2,3,2] 



m 



IS 



r . r tf r ^ r r A 



^5- 



-8-10-12-10-12- 



-9—11-9-11- 



-8-10-8- 



-9 9—11 11- 



-9 9—111311 



1012 12- 



| o | | o | M | o | [1,3,4,2] 



Yrr it r*r r r F '% 



JJ^JJt* J ^ 



10- 



^5- 



-8 10-12-8- 



-9 1 1 9-1 1- 



-8-12 10-12- 



9—11 9-13 11 

-9—11 9 11 



10 12- 



| o | | o | | o | | o | [1,4,3,2] 



ttrrrr^r 




w 



^ 9- 



-8 12-10-8- 



-8 12-10-12- 



11-9-11- 



10- 



11—9 9 1311 

11-9 9 11 



10 12- 



5.4. MINOR SEVENTH 



47 



| o | | o | | o | | o | [1,3,2,4] 




-8-1210 12 




o | | o | | o | | o | [1,2,3,4] 

| r r r ti r ttr r f^ 



Firmer 



10- 



^ 



-8-10-12 12- 



-9 9—11 11- 



-8 8-1012 



1012- 



-9—11-9-11- 



-9—11-9-1113- 



5.4 Minor Seventh 






[1,2,1] 



» rfr i » f f f r¥ w**r 






10- 



-9 9 



-35 9- 



-8 8- 



-13 11 9- 



-11 11-9 9- 



-12 12 



-8 8- 



\o\ — — — h^+ 



[1,2,1] 



$ ff r i > r *p r-* 



P? 



-9-13-9- 



11 9- 



^5- 



-8-12-8- 



11 11-9 9 11 

12 12 



-8-12-8- 



48 



CHAPTER 5. WHOLE TONE SCALE 



\o] — \e\ 



[1,2,1] 



3 iJrtrTr i *c*£r 



-9—11-9- 



^3- 



-8-10-8- 



11 1 1-9-1 1-9 9 

12 12- 



-8-10-8- 



[Oj 



| Q | P I [1,3,2] 



W 



US 



Jrt T t t r ltrT * 



10- 



-9 13 



^3- 



-8 12- 



13-11 11—9 9 

11 9 11 

12 



-8 12- 



\o] — — — \o] — teH 



[1,2,3] 



j5PfcfcT 



iteff i tefcfrlt 



-9-13- 



10- 



-& 9- 



-8-12- 



1113 9-11 9- 

11 9 11 

12 



-8-12- 



\o\ 



f^^H [1,3,2,1] 



r , » rffr i * r f*r r rr*rr*r 



^^ 



10 

-9 13-9- 



^ 9- 



-8 12-8- 



-8 12-8- 



13-1 1 1 1—9 9- 



11 11-9 9 11 

12 12 



5.4. MINOR SEVENTH 



49 



\Oi 



\O^B] [1,2,3,1] 



^ rf f T i tt r ^rf r r tt rTr r r r 



^m 



10 — 

-9-13 9 



^S 9- 



-8-12 8- 



1113 9-11 9- 

11 11-9 9 11- 



12 12- 



-8-12 8- 



O O 



\®i [1,2,3,2] 



m 



^m 



Jtffff i *r*efM 



10 — 

-9-13 13 



^5- 



-9- 



-8-12 12- 



111311 9-11-9 9 

11 9 11 11- 

12 



-8-12 12- 



^H- 



PH^ [1,3,2,3] 



W 



9 



» rff f^ r f *r fr # 



10 10- 



-9 9- 



-9 13- 



^5 9 9- 



-8 12- 



13-1113 11—9-11 9 9- 

11 9 11 

12 



-8 12- 



O O 



m [1,3,2] 



rJrf*r i * r f*rr*r r ,r r 



mW 



10 

-9 11 



M 9- 



-8 10- 



-8 10- 



13—9 11 9- 



11 9 11 9- 

12 



50 



CHAPTER 5. WHOLE TONE SCALE 



[O] — \B\ 



m [1,2,3] 



Pig 



■ » r*rf I » r i 



F-Jr 



-9—11- 



10- 



^5 9- 



-8-10- 



9-13 1 1 9- 

11 9-11 9 



12- 



-8-10- 



O O 



m [1,3,2,1] 



r tt fPpM f f ti f f f¥ f f ^ff 



^^ 



10 

-9 11-9- 



^S 9- 



-8 10-8- 



-13—9 11 9- 



11 11-9 11-9 9 

12 12 



-8 10-8- 



O O 



m [1,2,3,1] 



* r'rfr i * r il rf r^f¥ 






-9- 



10 

-9—11 9- 



-35 9- 



-8-10 8- 



-9-13 11- 



11 11-9-11 9 9 

12 12 



-8-10 8- 



O O 



\®\ [1,2,3,2] 



w* 



* r*r ff i Mrf iVf* 



10 — 

-9—11 11 



^5- 



-8-10 10- 



-8-10 10- 



11- 



-9-13-9 1 1 9- 



-9-11 11 9 9- 

12 



5.4. MINOR SEVENTH 



51 



\0] — \Oi 



m [1,3,2,3] 



3* 




*r 1 *r f i ^ Pr fr^ r Ts 



-9 9- 



10 10 

-9 11 



,33- 



-9 9- 



-8 10- 



13—9-13 11 11 9 9- 

11 9 11 9 

12 



-8 10- 



o o o 



[1,3,2] 



i »f*f . jUlWc-p 




-9-13-11 



.33- 



-8-12-10- 



11- 



11—9 9- 



-9 11 11-9- 

12 



-8-12-10- 



o o o 



[1,2,3] 



JrfTf i rt 



$m 



-9—11-13 



,33- 



-8-10-12- 



11- 



-9—11 9- 



-9-11 9-11 

12 



-8-1012- 



heH — \&\ — \Oi 



[1,3,2,1] 



rr " rrrr i ' r T* 



P 



-9-13-11-9- 



.33- 



-8-12-10-8- 



1 1—9 9— 

11 11-9 11-9 11-9- 



12 12 



-8-1210-8- 



52 



CHAPTER 5. WHOLE TONE SCALE 



hen — \o] — he+ 



[1,2,3,1] 



' r'rfr i ' r' r'r 



w 



-9—1113-9- 



-9—11 9- 



^5- 



-8-1012-8- 



11 11-9-11 9 9-11 

12 12 



-8-10-12-8- 



\o\ — \e\ — \®\ 



[1,2,3,2] 




-9—1113-11 



^5- 



-8-101210- 



-11- 



-9—11-9 9- 



-9-1 1 1 1 9-11-9- 

12 



-8-101210- 



o o o 



[1,3,2,3] 



J r f# r f . Ufg 



-9-13-1113 



^5- 



-8-12-10-12- 



11- 



11—9-11 9 9- 



-9 11 11-9-11 

12 



-8-121012- 



iwsi^r 



| o | | o | | o | | o | [1,3,4,2] 

i t r ffjtp , tJrft t 



10 

-9-13 11 



^5- 



9 

-8-12 10- 



-8-12 10- 



-11- 



11-13—9 9-11 9- 



-9 1 1 1 1 9- 

12 



5.4. MINOR SEVENTH 



53 



3? 



o | | o | | o | | o | [1,4,3,2] 

Pr ltrff¥ | »rf*r% f 



10- 



-9 13-11 



H 9- 



-8 12-10- 



13-11—9 11-9 9 

11 9 11 11-9- 

12 



-8 12-10- 



o o o 



\®i [1,4,2,3] 



P 



i J rf*rf i tt r f it r j fTf 



10 

-9 1113 



,33- 



-8 10-12- 



13—9—11 11 9 9 

11 9 11 9-11 

12 



-8 1012- 



mpi 



| o | | o | | o | | o | [1,2,4,3] 




-9- 



10 

-9—11 13 



^5 9- 



-8-10 12- 



9-13-11 11-9 9 

11 9-11 9 11 

12 



-8-10 12- 



Ps^fcl 



| o | | o | | o | | o | [1,3,2,4] 




-9-13-11- 



10 



^5- 



-8-12-10- 



-8-1210- 



11- 



11—9-13 9 11 9- 



-9 11 11-9- 

12- 



54 



CHAPTER 5. WHOLE TONE SCALE 



hen — \o] — he4 



m [1,2,3,4] 



jptt£££J 



» r*rf f i M r* 



-9—1113- 



10- 



48- 



-8-1012- 



9—11-13 9-11 9- 

11 9-11 9-11 

12 



-8-1012- 



5.5 Diminished Fifth 



HsH — \o] — h^+ 



[1,3,2] 



i^pt 



«J 



^s- 



-8 10 12 



-8-1210- 



-9 11- 



11—9 11-9- 



11 9 11- 

10 12- 



h€H — \e\ — h^+ 



[1,2,3] 




-£- 



-8-10-12- 



-9—11- 



-8-1012- 



-11- 



-9—1 1 9-1 1 

-9-11 



1012- 



heH — \o] — h©+ 



[1,3,2,1] 



irvrrrrrrrT ^ 



P 



^ 



-8 10 12-10- 



-8-1210-8- 



-9 11-9- 



11—9 11-9 

11 11 9 11 11 

10 1210 



5.5. DIMINISHED FIFTH 



55 



\0\ — \B\ — \0{ 



[1,2,3,1] 



te* 



¥Hr r rr r rn 



pBB 



,£- 



-8-10-12-8- 



-9—11 9- 



-8 10-12 10- 



9—11 9-1 1 

11 11 9 11 11 

1012 10 



o o o 



[1,2,3,2] 



OTrrrr i 'PTT- 



kk 



* 



,33- 



-8-10-12-10- 



-9—11 11- 



-8 1012 12 



-11- 



-9—11-9- 



-9 11- 



-9-11-9- 



1012 12- 



o o o 



[1,3,2,3] 



- i *r*r tt rr r rrrrr 



j j j j j tJi^tt 



W=m- 



-9 9 



^5- 



-8 8-10 12- 



-8-121012- 



-9 11- 



-11- 



11—9-11- 



-9 9-11- 



11-9-11 



10 12- 



| o | | o | | o | | o | [1,3,4,2] 



Ji i ^ i fr' i r i ' i 'rH i yrrrtrfr i 



ph 



-9—11- 



^5- 



-8-12 10- 



8-10 10 12 

-9 9 1 1 



-11- 



1113—9- 



-9-11 11- 

10 12 



1113-9- 



56 



CHAPTER 5. WHOLE TONE SCALE 



| o | | o | | o | | o | [1,4,3,2] 



JTn^rrn'rf^rrrrrrfrr i 



P 



Wist 



11-9- 



-^ 10—8 10 12 

-33 9 9 1 1 



-8 1210- 



-11- 



13-11—9- 



11-9 11- 

10 12 



1311-9- 



heH — hen — he+ 



JTFrTrr i 'TPrTi 



^H [1,4,2,3] 



i 



iP3 



-11 9- 



-93 9 9 1 1 

8 1012 



10 8-10 12- 



-11- 



13—9—11- 



11 9-11- 



13-9-11 



10 12- 



JJjJJJt^ClU 



| Q | | Q | | Q | | Q | [1,2,4,3] 




^5- 



-8-10 12- 



-9 9—11- 



10—8-1012- 



11-9- 



11- 



-9-13-11- 



1012- 



11-9-11- 



-9-1311 




Half-Whole 
Diminished Scale 
Group 



6.1 Major Sixth 



o o 



[1,2,1] 



PH 



kfnJ 



12 9- 



12- 



11 11—8 8- 



-95 8 12 12- 

8 8 



\o\ — — — \o\ 



[1,2,1] 



i .P W^ f ^Tn m 



-li- 



48 12 12 

8-12-8 



11 11—8-12-8- 



57 



58 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



O O 



[1,2,1] 



PP 



tfk 



feg^g 



-11 11—8-10-8- 



^3- 



-8-10-8- 



12 12- 



\B\Bi 



[1,2,1] 



* 



; ! 5=ff 



w 



w^ 



1 1121 1—8-9-8- 



^3- 



-8 — 9—8- 



12 12- 



\Oj 



TO [1,3,2] 



=W 



^ r ^ r ttr£f^ r rrt 



^95 9—8-12- 

8 



1312 10—9- 

-8 1 1 8 

12 



\o\ 



\®\o] [1,2,3] 



W* 



md 



-12-13 9-10 



-3£ 8 — 9-12 

8 



12- 



-8—11 8- 



6.1. MAJOR SIXTH 



59 



\Oi 



\m\ [1,3,2,1] 



£* 



^^ 



1312 10—9- 



^33 9—8 12 12 

8 8 



8 1 1 1 1—8 8- 

12- 



o o 



m [1,2,3,1] 



i^ 



ft 



fe£ 



12- 



1213 9-10 

-8 11 11-8 8- 



^33 8 — 9 12 12- 

8 8 



o o o 



[1,2,3,2] 



^m 



m^ffly 



121312 9-10-9- 

-8 1 1 8 



^5 8 — 9—8-12 

8 



12 12- 



\Oi 



H>N [1,3,2,3] 



itWsSIH 



Wr»l |P ^ 



131213 10—9-10- 

-8 8—11 8 



^S 9—8 — 9-12- 

8 



12- 



60 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



hen 



m~\e\ [1,3,2] 



P 



#^ il 



fej fe jg 



-13-11 10- 



-8 1 1 8 12- 



^S 9 12- 

8 12 



-11- 



\o] — — — he^ — \o] 



[1,2,3] 



p# 



i Mr*&frft \ 



-35 9-12 



-11- 



1113 10- 

-8—11 8-12 



-8-12- 



\o\ 



| Q | P I [1,3,2,1] 



m t*rPrrrV 



3TO 



13-11 io- 



-8 1 1 1 1-8 12-8- 



-11- 



-& 9 12 12- 

8 12-8 



hen 



\e^o] [1,2,3,1] 



^1 



tt f Yf r rf'T 



-£- 



-li- 



1 113 10 

-8 11 11-8-12 8- 



-8-12 8- 



-9 12 12- 



6.1. MAJOR SIXTH 



61 



\o\ 



| Q | P I [1,2,3,2] 



ff*Ml 



Itrff »ir 




=3f 




11-1311 10- 



-8 11 8-12 12- 



,33- 



-9 12- 



11 11- 



-8-12 12- 



Hs4 



\ o \ | o | [1,3,2,3] 



P 



j f ft f Jr 



13-11-13 10 10- 

-8 8—1 1 8 12 



-95 9 9-12- 

8 12 



-11- 



o o o 



[1,3,2] 



*gj%j 



^S 



M 8 12 

8 11 



12-10- 



-12-10 9 

11 8 11 



o o o 



[1,2,3] 



w< 



e^ 'tfTtclHf 



^5- 



-8—11- 



-8-12- 



1012- 



1012 9- 

11 8-11 



G2 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o 



[1,3,2,1] 



»rrriv 



pph 



1210 9- 



-12-10- 



-11 11—8 11-8- 



-3£ 8 12 12- 

8 1 1-8 



o o o 



[1,2,3,1] 



m 



m 



W' 



1012 9- 



^s- 



-8—11 8- 



1012- 
-8 12 12- 



11 11—8-11 8- 



\0] — — \Bj 



K>H [1,2,3,2] 



* 




4 



5f 



m 



10-1210 9- 



^3- 



-8 12- 



-101210- 



11 8-11 11 



-8—11 11- 



\o] — — \e\ 



t°H [1,3,2,3] 



3f 




k££hd 



-12-10-12 9 9- 



-95 8 8-12 

8 1 1 



121012- 



11 8 11- 



6.1. MAJOR SIXTH 



63 



[O] — — \0\0i 



[1,3,2] 



^J 



m 



y§^ 



11-10- 



H 12 



11-10- 



11 8-1211- 



-8-12-11- 



\o] — — hefe+ 



[1,2,3] 



«l#fr 



ff 



^ 



-10-11- 



S- 



-8—11-12- 



12- 



10-11- 



11 8-1112- 



o o o 



[1,3,2,1] 



^ 



1 



w 



Ji r^p 'gCLf* 



^5- 



-8-12-11-8- 



11-10- 
12 12- 



1 1-10 

11 11— 8-1211-8- 



heH — — \o\ei 



[1,2,3,1] 



^ 



H 



*rf*Tr tt rr 



^ 



-8—11-12-8- 



10-11- 
12 12- 



10-11 

1 1 1 1—8-1 112-8- 



64 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



\o\ — — \o\oi 



[1,2,3,2] 




-10-11-10- 



^3- 



-8—11-12-11- 



12- 



10-11-10- 



11 8-111211 



O 



[1,3,2,3] 



WMi 



M^jtgggrt 



5*J 



11-10-11- 



^3- 



-8-12-1 1-12- 



-12- 



11-10-11- 



11 8-12-11-12- 



o o o 



[1,3,2] 



a»Jrf*r»r¥ 



^ 



-13—9 10- 



-8 11 8 10 

9 



^5 9 12 

8 10 



HsH — \b\ 



m [1,2,3] 



^ 



»Jrfcf>Vr i 



9-13 10- 

-8—11 8-10 



.33- 



-8-10- 



-9-12- 



6.1. MAJOR SIXTH 



65 



\o\ — ^+ 



m [1,3,2,1] 



ii* 



J J J J 



-13—9 10- 



-8 1 1 11-8 10-8- 



-95 9 12 12- 

8 10-8 



o o 



m [1,2,3,1] 



l Hff r J r r 



JJ^i 



-9-13 10- 



-8 11 11-8-10 8- 



-93 9 12 12- 



-8-10 8- 



o o o 



[1,2,3,2] 



# 



^ ^jrf 



-9-13-9 10 

-8 11 8-10 10 



-9 9- 



H 9 12 



-8-10 10- 



heH — \oi 



m [1,3,2,3] 



P=5 



13—9-13 10 10- 

-8 8—1 1 8 10 



^S 9 9-12- 

8 10 



66 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o 



[1,3,2] 



m 



, Jr ggfe r\ 



m 



12—9 9- 



-35 8 12 

8 10 



12-9- 



11 8 10 



o o o 



[1,2,3] 



W 



.kkfiA 



-9-12 9- 



^S- 



-8-10- 



-8-12- 



-9-12- 



11 8-10- 



l ° l l ° l I l ° l I [1,3,2,1] 



wm 



, _ ttr fl*r rn, r ii 



-12—9 9- 



12-9- 



11 11—8 10-8- 



-Q 8 12 12- 

8 10-8 



| o | | o | I | o | I [1,2,3,1] 



^S 



, »r»rfr^f 



^ 



-8-10 8- 



-9-12- 
-8 12 12- 



9-12 9 

11 11—8-10 8- 



6.1. MAJOR SIXTH 



67 



O O O 



[1,2,3,2] 



, Jrttrfr^ 



1 



-9-12-9 9- 



-35 8 12 



-9-12-9- 



1 1 8-10 10- 



-8-10 10- 



lO] — \o] — — H^+ 



[1,3,2,3] 



, _ JrfttrfW t 



12—9-12 9 9- 



-95 8 8-12 

8 10 



12-9-12- 



11 8 10- 



hSH — \OiOi 



[1,3,2] 



^ 



« 



-10—9- 



,33- 



-8—11-10- 



12- 



10-9- 



11 8-11-10- 



heH — hefel 



[1,2,3] 



HfttgfttrpW 



wm 



-9-10- 



^ 



-8-10-11- 



12- 



-9-10- 



1 1 8-10-1 1 



08 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o 



[1,3,2,1] 



f 



mm 



* 



3tR 



-10—9- 



^3- 



-8—11-10-8- 



10-9 

12 12- 



11 11—8-11-10-8- 



o o o 



[1,2,3,1] 



w 



Bigfeggjitefe 



*f 



-9-10- 



^8- 



-9-10- 



1 1 1 1—8-10-11-8- 



-8-10-11-8- 



12 12- 



\b] — \e\B\ 



[1,2,3,2] 



»r*rrry | r*r 11 



PPP 



-910-9- 



^3- 



-8-10-11-10- 



12- 



-910-9- 



1 1 8-10-1 1-10 



hen — he|©| 



[1,3,2,3] 



r *rf 1t rr*rr l| r* 



*PW 



-10—9-10- 



^ 



-8—11-10-11- 



12- 



10-9-10- 



11 8-11-10-11 



6.1. MAJOR SIXTH 



69 



| o | o | I I I | o | [1,3,2] 



* 



^Pf 



-13 10- 



M 9 12 

8 9 



-8 1 1 12-8 9- 

8 



\o}o] — — — — \o] 



[1,2,3] 



5p 



** 



13 10 



-8—11-12 8-9- 



^s- 



-8 — 9- 



-9-12- 



\B\B\ 



W\ [1,3,2,1] 



f^H= 






13 10 

-8 1 1 12-1 1-8 9-8- 



-95 9 12 12- 



-8 9—8- 



[o{oi 



m [1,2,3,1] 



M l{ J ^ ~ 



^m 



13 10 

-8 1 112 1 1-8—9 8- 



^5- 



-8 — 9 8- 



-9 12 12- 



70 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



| o | o | I I I | o | [1,2,3,2] 



* 



3pP3 



-13 10- 



-8 1112 12-8-9 9- 



^3- 



-9 12- 



-8 8- 



-8 — 9 9- 



\o\o\ 



\®i [1,3,2,3] 






-13 13 10 10 



-3£ 9 9-12 

8 9 



-8 8—1 1 12 8 9- 

8 



o o o 



[1,3,2] 



Bell 



| J., I JU' Jt 



-li- 



^5- 



-8-12—9- 



12- 



11—8- 



11 12—8-12-9- 



[OiO] — — \Bi 



[1,2,3] 



h 



P J|pJ " ^ i 



^ 



-8 — 9-12- 



12- 



-8—11- 



11 

1112 8-9-12- 



6.1. MAJOR SIXTH 



71 



Hs4€H — — hen- 



[1,3,2,1] 



£ 



* 



m 



I J., I , I J^W 



-11- 



■«- 



11—8- 



11 1211—8-12-9-8- 



-8-12—9—8- 



12 12- 



o o o 



[1,2,3,1] 



#ri4 



is 



Pi 



***t 



i te^ 



-li- 



^ 



-8—11- 



1112 11—8-9-12-8- 



-8 — 9-12-8- 



12 12- 



o o o 



[1,2,3,2] 



* 



— ^- * r r ff r 



-li- 



^5- 



-8 — 9-12-9- 



12- 



-8—11-8- 



1112 12—8-9-12-9- 



o o o 



[1,3,2,3] 



*di 



I I | j r iirit 



-li — ii- 



,33- 



-8-12—9-12- 



12- 



11—8-11- 



11 12 8-12-9-12- 



72 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o 



[1,3,2] 



jJWJtrr 



^f 



-10- 



^8- 



-8—11—9- 



-12- 



10—8- 



11 12—8-11-9- 



\0}0] — h©+ 



[1,2,3] 



Jff«fUl 



3p 



-10- 



^ 



-8 — 9—11- 



12- 



-8-10- 



1112 8-9-11 



\0{0] — \B\ 



[1,3,2,1] 



^P 



m 






-«- 



-8—11—9—8- 



10—8- 
12 12- 



10 

11 1211—8-11-9-8- 



o o o 



[1,2,3,1] 



iPi 



-*OT 



OTUfl*t£L 



^ 



-8 — 9—11-8- 



-8-10 

12 12- 



10 

1112 11—8-9-11-8- 



6.1. MAJOR SIXTH 



73 



\o\o] — \e\ 



[1,2,3,2] 



aq;« rzazj I I 



<W I 



10- 



^ 



-8 — 9—11-9- 



12- 



-8-10-8- 



1112 12—8-9-11-9- 



[0\0] — \B\ 



[1,3,2,3] 



^m 



1 ! S=^* 



ppg 



-10 10- 



^5- 



-8—11—9-11- 



12- 



10—8-10- 



11 12 8-11-9-11- 



| o | I | o | l ° l ° l [1,3,4,2] 



=N#^f 



,«r£ &v 



12-1310 9-10- 



-8 11 8 11- 



^95 8 — 9 12 

8 1 1 



12 10- 



heH — — \o\ 



m®i [1,4,3,2] 



S^ 



fc**£ 



irllS^n 



-13-12-10 10—9- 



^S 9—8 12- 

8 1 1 



-8 11 8 11- 

12-10 



74 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



\ o \ I | o | | o | o | [1,4,2,3] 



J tt JJ^ &S 



^d&trll l 



-13-10-12 10 9- 



-8 11 8 11- 



-95 9 8-12- 

8 11 



10-12- 



o o o 



i°i [1,2,4,3] 



ffte * 



Jp^SJg 



M 



101312 10—9- 

-8 11 8-11 



-3£ 9—8-12 



10 12- 



-8—11- 



| o | I | o | | o | o | [1,3,2,4] 




-& 8 9-12 

8 1 1 



1210- 



121013 9 10 

-8—11 8 11 



| o | I | o | | o | o | [1,2,3,4] 




5f 



VzjJg 



Urllf.r* 



^5- 



-8—11- 



-8 — 9-12- 



1012- 



101213 9-10- 

-8—11 8-11 



6.1. MAJOR SIXTH 



75 



| | I l ° l ° l | o | [1,3,4,2] 



JHJfflT 



itrirffr. 



-11-1310 10- 



-8 11 8-12 11 



^5- 



-9 12- 



11 10- 



-8-12 11- 



O 



m [1,4,3,2] 



» r f*rYffrn 



i^^ 



13-11-10 10- 



-8 11 8 1211 



-35 9 12- 

8 12-1 1 



-11-10- 



o | I | o | o | | o | [1,4,2,3] 



**q^:: 



m 



i#*f 



1310-11 10- 



-8 11 8 11-12 



H 9 12- 



-10-11- 



-8 1112- 



3P 



| o | I | o | o | | o | [1,2,4,3] 



mM M*M 




-10-13-11 10- 



-8 11 8-11 12- 



^s- 



-9 12- 



10 11- 



-8—11 12- 



76 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



\ o \ I | o | o | | o | [1,3,2,4] 




^W 



m 



&dM 



-1 1-10-13 10- 



^5- 



-8-12-11- 



-9-12- 



11-10- 



-8—11 8-1211- 



O 




=P3f 



mrk£ 



\®i [1,2,3,4] 



fe 



-10-1 1-13 10- 



^5- 



-8—11-12- 



-9-12- 



10-11- 



-8—11 8-1112- 



fc* 



o | | o | I | o | o | [1,3,4,2] 



^^4 



1213—9 9-10- 



-8 11 8 10- 



-33 8 — 9 12 

8 10 



12 9- 



M | o | I | o | o | [1,4,3,2] 



ttfffttr^rr^f 



gPW 



1312—9 10-9- 



-8 11 8 10- 



^33 9—8 12- 

8 10 



12-9- 



6.1. MAJOR SIXTH 



77 



| o | | o | I | o | o | [1,4,2,3] 



^ft 



b*H* 



pi3$ 



13—9-12 10 9- 

-8 11 8 10 



-95 9 8-12- 

8 10 



-9-12- 



\o] — HsH — — he- 



\0\ [1,2,4,3] 




§3« 



M r'C& frrJd 



9-1312 10-9- 

-8 1 1 8-10 



-93 9—8-12 



-9 12- 



-8-10- 



o o o o 



[1,3,2,4] 



Urtkf.rvu 



^# 



.93 8 9-12 

8 10 



12-9- 



12—9-13 9 10 

-8—11 8 10 



M | o | I | o | o | [1,2,3,4] 



tJrklfA 



.93- 



-8-10- 



-8 — 9-12- 



-9-12- 



9-1213 9-10 

-8—11 8-10 



78 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



3pn 



| o | | o | o | I | o | [1,3,4,2] 



-10-13—9 10- 



-8 11 8-11 10 



^5- 



-9 12- 



10 9- 



-8—11 10- 



M— k» H I M [1,4,3,2] 



mM 



#-&#■ 



gPpp ^ 



1310—9 10- 



-35 9- 



-8 11-10- 



12- 



-8 11 8 11-10 

10-9 



o | | o | o | I P i [1,4,2,3] 



a r -r»rPrr. 



S^j 



13—9-10 10- 



-8 11 8 10-11 



^5 9 12- 

8 10-11 



-9-10- 



Pjj 




| o | | o | o | I | o | [1,2,4,3] 



trklf^rn 



-9-1310 10- 



-8 11 8-10 11 



^5- 



9 12- 

-8-10 11 



-9 10- 



6.1. MAJOR SIXTH 



79 



| o | | o | o | I | o | [1,3,2,4] 



3JPS 



# 



a r »r f^r : "a±fi 



-10—9-13 10- 



3± 



-8—11-10- 



-9-12- 



10-9- 



-8—11 8-11-10- 



| o | | o | o | I | o | [1,2,3,4] 



f 



# 




tt»»rie£f»Wrft 



-9-1013 10- 



,33- 



-8-10-11- 



-9-12- 



-9-10- 



-8—1 1 8-10-1 1- 



o o o o 



[1,3,4,2] 



Mf#i 



i 



3F^ 



3 



-10-12—9 9- 



H 8 12 



10-12-9- 



11 8-11 10- 



-8—11 10- 



o o o o 



[1,4,3,2] 



Jrfr jt i>rr 1 ' 



? 



^m 



^ 8- 



-8 11-10- 



12- 



1210-9- 



1210—9 9 

11 8 11-10 



80 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o o 



[1,4,2,3] 



»rfl*rrtt»rw 



m 



f< 



12—910 9- 



-35 8 12 

8 10-1 1 



12-9-10- 



1 1 8 10-1 1 



IB] — \OiO] — 10} 



[1,2,4,3] 



irklf^r r» 



^m 



-9-1210 9- 



^s- 



-8 12- 



-9-12-10- 



11 8-10 11 



-810 11- 



| o | | o | o | | o | I [1,3,2,4] 



w\ 



r*r f*r f*r r 1 ' 



10—9-12- 



^3- 



-8—11-10- 



-8-12- 



10-9-12- 



1 1 8-1 1-10- 



\B\ — \B\B\ 



t°H [1,2,3,4] 



f 



m 



kkltiM 



-9-10-12- 



^ 



-8-10-11- 



-8-12- 



-9-1012- 



11 8-10-11- 



6.1. MAJOR SIXTH 



81 



| o | o | I | o | | o | [1,3,4,2] 



» r *rfrrr 1 Tr 



^pp 



1113 10- 



-8 11 12-8-12 9- 



^8- 



-9 12- 



11 8- 



-8-12 9- 



o o o 



\®i [1,4,3,2] 



* r f *r r r\ r r 



^^0 



13-11 10- 



^S 9 12- 

8 12—9 



-8 1 1 12-8 12-9- 

11—8 



| o | o | I | o | | o | [1,4,2,3] 



3Pp 



s 



13 11 10- 



-8 11 12 8 9-12 



-95 9 12- 



-8—11- 



-8 9-12- 




w 



o | o | I | o | | o | [1,2,4,3] 



— 13-1 1 10 

-8 11-12 8-9 12- 



.33- 



-9 12- 



-8 11- 



-8 — 9 12- 



82 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



-**P 



# 



| o | o | I | o | | o | [1,3,2,4] 



$ r kjzf*rr^ 



1 1 13 10 



^5- 



-8-12—9- 



-9-12- 



11—8- 



-8—11 12 8-12-9- 



o o o 



m [1,2,3,4] 




-8 — 9-12 



| o | o | | o | I | o | [1,3,4,2] 



i 



iP^p 



3 



-10-13 10- 



-8 11 12-8-11 9- 



-95 9 12 



10 8- 



-8—11 9- 



| o | o | | o | I M [1,4,3,2] 



mm 



i tf J ^>iE 



^ 9- 



-8 11—9- 



12- 



1310 10 

-8 1 1 12-8 1 1-9- 

10—8 



6.1. MAJOR SIXTH 



83 



| o | o | | o | I | o | [1,4,2,3] 



S^f 



-13 10 10- 



M 9- 



-8 9—11- 



12- 



-8 1 1 12 8 9-1 1 

8-10 



o o o 



\®i [1,2,4,3] 



sp 2 ? 




1310 10- 



-8 1112 8-9 11 



^5- 



-9 12- 



-8 10- 



-8 — 9 11- 



3Pp* 



3 



o | o | | o | I | o | [1,3,2,4] 



-10 13 10 



^3- 



-8—11—9- 



-9-12- 



10—8- 



-8—11 12 8-11-9- 




-8 — 9—11 



84 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



HoloH — \o\ei 



[1,3,4,2] 



*eii 



^S^f 



S 



10-11- 



^8- 



-8—11-12—9- 



-12- 



10-11—8- 



11 12—8-1112-9- 



O O 



[1,4,3,2] 



Wk 



1 r 'r¥lr'PT 



^Pfr 



1110- 



^3- 



-8-12-11—9- 



12- 



11-10—8- 



11 12—8-1211-9- 



o o o o 



[1,4,2,3] 



JW,J^' ir 



$rAr* 



11 10- 



^3- 



-8-12—9—11- 



12- 



11—8-10- 



1 1 12 8-12-9-1 1 



O 



[1,2,4,3] 



m^t 



fete* 



JJ J ^[| 




11-10- 



^ 



-8 — 9-12-11- 



12- 



-8—11-10- 



1112 8-9-1211 



6.2. MINOR THIRD 



85 



o o o o 



[1,3,2,4] 



isM 



te 



PS 



3P| 



-10 11- 



,33- 



-8—11—9-12- 



12- 



10—8—11- 



11 12 8-11-9-12 



o | o | | o | o | I I [1,2,3,4] 

.$rrrt*.rr' 



pF* 




10-11- 



48- 



-8 — 9—1112- 



12- 



-8-10-11- 



1112 8-9-1112 



6.2 Minor Third 



o o 



[1.2,1] 



r- \ ,r,tr*rrk l? zm 



m* j J i t 



M 8- 



-8 8—11 11- 



-9 12 

1 1 9 9-12 12- 



10 

-9 12 10 10- 



10 8 8—11 11- 



10 10- 



HsH — — — [oi 



[1.2,1] 



JTJjl J J Pg W»' 



h 



rr^rTr^Ar^ 



^ 



-8 11 



-8-12-8—11 11- 



10 9 9-12 12 



-9 8-12-8—1 1 11- 



11 10 10- 



10 10- 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



O O 



[1.2,1] 



f r f UrTr'diEJ tf£ j 






^3- 



-8-10-8—11 11- 



-8 9—11-9-12 12- 



10-12-10- 



-8-10-8—11 11- 



-9 10-12-10- 



\OvSn 



[1.2,1] 



Wv J JJ J J r g 



ri t r ii r ttrrr* CX; tt 



^5- 



-8 — 9—8—111211- 



8 

-9-10-9-12 12- 



10-11-10- 



-8-9-8—111211- 



10-11-10 



\0\ — — — — \0\B\ 



[1,3,2] 




3Wj 



5*# 



^■ Mr l r'r'T*^ * 



**Jtete 




1110- 



-8- 



10-9 12 



-3$ 9—8 12-11—9 12 

8 1 1 



10- 



10—9 131210- 

11-10—8 11 



\Oj 



\g\g\ [1,2,3] 



».#*»rts 



6.2. MINOR THIRD 



87 



\Of 



m®i [1,3,2,1] 



m J j fl j ft* ^ 



J ,J L l J J l JrV . l r'r l| rr»rr ,l rr'E 
^it J *Jf -g ^f4S == gn I r > 






-11-10 — 
-10—9 13-12 10 10- 



-10-9 12- 



1110 8 8—11 11- 



-95 9—8 12-1 1 9 912 12 

8 8—11 11 



10 10- 



\o\ — — — — \& 



i°i [1,2,3,1] 



i' ft 'ilt 



m 



i 



fe#4 



mm 



10-11 — 
-9-10 1213 10 10- 



M 8—9- 



-8 8—1 1 1 1- 



-910 12 

-11-12 9 9-12 12 



10-11 8 8-11 11- 



10 10- 



Hs4 



H>N [1,2,3,2] 




j J W J # Jtt 



Wr&Jrrrt 




etete 




-10-ll-lOn 



-^ 910-9 12 12 

-35 8 — 9—8 1 1-12-1 1—9 12 



-8 11- 



10- 



910-9 1213 1210- 

10-11-10—8 11 



\Oi 



m^\ [1,3,2,3] 



Mf i fjrH r ft ^ 



^ ±*± JWpfe 




li'-H-.ir 



jiffi^jw j '^s 



-ll-10-ll-i 



-8 8- 



-^ 10-910 12- 

-35 9—8 — 9 12-1112-9 12 



-11- 



10- 



10—910 13 12 1310- 

11-10-11—8 11 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



\0] — — — \B] — \B] 



[1,3,2] 



1 



,.r>»fWf'f*£ 






-11—9- 



-8- 



10 13-11-10- 



-95 9 1210-9 

8 12-1 1 



10—8 11 

12 



10- 



11-9 — 8 12-11- 



\o\ — — — \q\ — \e\ 



[1,2,3] 



rJrfV¥¥ 




-8-12 11 



\o\ 



m 



i 



t©H<H [1,3,2,1] 



* 



a 



to* 



ygSl 



P 3 J 4 



i 



sa 



11—9 

10 13-11 10 10- 



-8- 



10—8 1 1- 



-95 9 12 10 9 9-12 12 



-8 12-8—11 11- 



1 1-9 8 12-8-1 1 1 1- 



10 10- 



\B\ 



m-\e\ [1,2,3,1] 



^1JitJ J ip»r« 



^ A .^ r kfM?% 



pPif 



-9—11 

10 1 113 10 10- 



Si 8-10 11 

-95 9 10 12 9 9-12 12 

8-12 8—11 11 



9—1 1 8-12 8-11 1 1- 

10 10 



6.2. MINOR THIRD 



89 



\Oi 



\^^\ [1,2,3,2] 




-8-12 12-11 



\o\ 



\^^i [1,3,2,3] 



rrr.nrnr¥?t 




4& 9 9 12 10 12-9 

8 12 11 



\o\ — — \B\ — \e\ 



[1,2,3] 




i lt J'J ft '* 



c i ^r^rl* 



^m 




-10- 



^5- 



-9 10-12- 



-8—11 11- 



-8 9—1 1-9-12 12- 



10- 



-8-10-8—11 11- 



-9 10-121013- 



hSH — — \B] — [Oi 



[1,3,2,1] 



r^ i pntf^r*r'rr r fr r rFfr i 



JWJJh 



-io 

-9 1210 10 1310- 



^S 8- 



-8 11-8-11 11- 



-9 12-10 

11—9 9 12-9-12 12- 



10—8 8 11-8-1 1 1 1- 

10 10 



90 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o 



[1,2,3,1] 



fr. i f«rr,r«r*rr r rf r rfFr i 



sppi 



=3f 



—10 — 
-9 10-12 10-13 — 10- 



^5- 



-9 1012- 



8 9—11 9-12 9-12 12 

-8—11 8-11 11 



-8-10 8—11 8-11 11- 



10 10- 



\b\ — — \e\ — ^4 



[1,3,2,3] 



JJ||JJJH' |J ^ ^ 




10 10- 

-9 9 12-101210 13 



9 9 121012 



-33 8 8 11—9-11-9 12 12 

8 11 11 



10- 



10—8-10-8 11 11- 



o o o 




jfJjJitJJJ^H^- i 



[1,2,3] 



** 



*rMr?¥ 



^5- 



-8 10-11 



-8—11-12-11- 



-9-10-9-12 12- 



10- 



-8-9-8—111211- 



10-11-1013- 



JJJJJ^JJJWJ^ 



° l I l ° l ° l I I [1,3,2,1] 



gMte 



-9 

-11-10 10 13-10- 



^5- 



-8 11-10- 



-8-12-11-811 11- 



10—9 9 12-912 12 



-9 — 8 8-12-11-8-11 11- 



10 10- 



6.2. MINOR THIRD 



91 



\Bj — — h^te4 



[1,2,3,1] 



i 



teSgt£fe£J£g jgfe 



^s 



^ 



9 

10-1 1 10-13 10 



3^ 



-8 10-11- 



-8—11-12-8-11 11- 



-910 9-12 9-12 12 



-8-9 8—1112-8-11 11- 



10 10- 



\0] — — \OiOi 



[1,3,2,3] 




-8-12-111211 



o o o 



[1,3,2] 



g 



J tt ^JftJ \W * d 



T~ \ if m \ Jr fifT Vh 



fcl-J. 




— ii — 

10 13—9-10 12 



10 9- 



^95 9 12-8 — 9 1 1-12- 

8 10-11 



11 8 10-11- 

10 12 



HsH — \b\ 



m [1,2,3] 



1t^Jt 




-8-10 11 



92 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



% 



| | o | I I | o [1,3,2,1] 



3 



te, 



" r rrffr i 



I HjJ ft J tH ^ 



-li — 

10 13—9 10 1210 



-95 9- 



-10- 



-9- 



-8 10-8—11 11- 



12-8 9 11-9-12 12 



11 8 10-8—1 1 1 1- 

10 1210 



\o] — \Oi 



m [1,2,3,1] 



3 



1 



#. 



ltr.»,VMHrfr gSfe 



ffggpggpg^ gg 



—li — 

-10 9-13 1012 10 



^5- 



10 9 

-9 8-12 9—1 1 9-12 12 



-810 8—11 11- 



11 8-10 8—1 1 1 1- 



1012 10- 



o o 



m [1,2,3,2] 



FJjiJ^^ jt 




te, 



r^rr^rr ftf "r^rrf | 



ii — 

10 9-13-91012 12 



-3£ 9 8-12-8 — 9—11 1112 



10 9 9 



-8-10 10-11- 



11 8-10 10-11- 



1012 12- 



\o\ — ^+ 



m [1,3,2,3] 



~ *u ftuffjf^f 



6.2. MINOR THIRD 



93 



h^ — \0] — — \ei 



[1,3,2] 



ggfegl 






s 



f 



10 — 

-9 12-9-10 12 



9 12-9- 



^5 8 11-8 — 9 1112 



-8 10-11- 



10 8 10-11- 



10 12- 



\0] — \0] — — \Bj 



[1,2,3] 




m 



pips 



to 




-10- 



.93- 



-9 9-12 



-8 8—11—9-11 12- 



10-12- 



-10—8-10 11- 



-9 9-121012- 



-810 11- 



o o o 



[1,3,2,1] 



,jrrrr*r lt rrrYrr r rFfr i 



^J» JJ J ^ 



10 

-9 12-9 10 1210- 



9 12-9- 



-95 8 11-8 9 11-9-12 12 



-8 10-8—11 11- 



-10 8 10-8—11 11- 



10 12-10- 



o o o 



[1,2,3,1] 



,r. i ,rr,»rr tt rf'' r rf r rfFr i 



^J J " J i 



—io — 

-9 9-12 1012 10- 



^s- 



9 9-12 

8 8—1 1 9-1 1 9-12 12- 

-8-10 8—11 11 



10 8-10 8—11 11- 



1012 10- 



94 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



^S 



o | P I I P I I [1,2,3,2] 



«:* 



10 — 

-9 9-12-9-10-12 12 



9 9-12-9 



-& 8 8—11-8 — 9-11 1112 



-8-10 10-11- 



10 8-10 10-1 1- 



1012 12- 



o o o 



[1,3,2,3] 



flJE* ' qP ' i 



,-i> \ .ri>niM^rfi 




10 10 

-9 9 12-9-1210 12 



9 9 12-9-12 



10 10—8 10 1 1- 



-95 8 8 11-811—9 11 12 

8 10 11 



10 12- 



\o\ — \o\o\ 



[1,3,2] 



j j ^JWH J * J |g 



^rttgjdirfe ^ 



.SB- 



'S— ll-lO-ll- 



-9—8 — 9-12-1112- 



10-9- 



-8 8—11-10-11- 



10—9-10-1312- 



10 12- 



heH — \e\o\ 



[1,3,2,1] 



JjtJuJJjtJWJ l tJ^^ ^^ 



, }* m ~r __» I III | | ' a 



^5- 



-8—11-10-8—11 11- 



10-9 

-9—8 9-12-11-912 12 



-8 8—11-10-8—11 11- 



10—9 1013 1210 



10 1210- 



6.2. MINOR THIRD 



95 



o o o 



[1,2,3,1] 



JJjtJJJJftJJJ^^ ^ 



di ^^ i pritrprrVr r 'rr r rrfr i 



■m- 



-9-10- 



-8-10-11-8-1 1 1 1- 



-8 — 9 9—1 112-9-12 12- 



1012 10- 



-8 8-10-11-8-11 11- 



-9-10 10-121310 



o o o 



[1,2,3,2] 




^ 



-8-10-11-10-11- 



-8 — 9—8 — 9—1112 1112- 



-910-9 



-8 810-11-10-11- 



-910-91012 13 12 



1012 12- 



H^M 



m [1,3,2] 



i 



s 



gppp^ * 



* 



, .?.jt 



gfe 



-li — 

10 13 10 11 



H 9- 



10 8- 



-8 9—11 12- 



12 9 1012- 



11 8 9-11 12- 

10 1 1 



H^sH — — — — \B] 



[1,2,3] 



r.rfrtA 




-8 — 9 1112 



96 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



hefej 



m [1,3,2,1] 



1 



i 



igg 



i. 



fi^Hfe 



P-ppf 



g 



10 8- 



^5 9 12 9 10-9-12 12 



-8 9—8—1 1 1211- 



11 

10 13 10 1 1-10 



1 1 8 9-81 1 12-11- 



10 11-10- 



hefel 



m [1,2,3,1] 



m 



i 



li i -Yn i -ff rrL- r rf r r ^fe 



^n 



HS 



s 



— ii — 

10 13 10-1 1 10 



10 8- 



-8- 



-& 9 12 9-10 9-12 12 



-8 — 9 8—1112 11- 



11 8-9 8-1112 11- 



10-11 10- 



hefel 



\®i [1,2,3,2] 



f 



J P JLtJ J J J J J ^ 



S 



A 



— n — 

-10 13 10-11 11 



^5 9 12 910 10 12 



10 8 8- 



-8 — 9 9—1112 12- 



10-11 11- 



11 8-9 9-1112 12- 



hefel 



\®i [1,3,2,3] 



* 



, , *.*Jfi#,£: 



in§ 



^p 3 ? 



1 1 1 1 

-10 10 13 13 10 11 



-8 8- 



-10 10 8- 



-35 9 9 12 12-9 10 12- 

8 9 11 12- 



11 11—8 9 11 12- 



10 11- 



6.2. MINOR THIRD 



97 



o o o 



[1,3,2] 



m tf J i J| t J>' ^g g 



f ^ l ^^^ ^j ^ P^ 



^5- 



-8 11—8- 



-8-12—9—11 12- 



10 9 1012- 



-9 8-12-9—1 1 12- 



11 10 11 



10 11- 



[oio] — — he+ 



[1,2,3] 



^ 



jga^lJJlW^ gg 



^rrir^ ^fi 



^5- 



-8 — 9-12-1112- 



10—910 12- 



-8 8—11- 



10-11- 



-9 — 8-9-12-1112- 



11-10-11- 



o o o 



[1,3,2,1] 



jj^j^jji^^g ggg 



r YYf f rf^rfe 



^ 



-8 11—8- 



-812—9—8—11 — 1211- 



10 9 10-9-12 12 



-9 812-9-8—1 1 12-1 1- 



11 10 11-10 



10 11-10- 



Hi J ^ JJ ^ | JJ " JJ ' ^ 



° l ° l I l ° l I I [1,2,3,1] 



,33- 



-8 — 9-12-8—1 1-12 — 1 1- 



8 8—11 

10 910 9-12 12 



-9 8-912-8—1 1-12 1 1- 



11 10-11 10 



10-11 10- 



98 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o 



[1,2,3,2] 



ittJJijJ^jJW lggg 



r » rrr a cr Mrr*r r Hr *ft > i 



^5- 



-8 — 912-9—1112 12- 



10 9-10 10-12- 



-8 8—11-8- 



10-11 — 11- 



-9 8-912-9—1112 12- 



11 10-11 11 



o o o 



[1,3,2,3] 



0^mJf-0-f\f^T t Jf-T t 



^^^^^S 



JJJJJ^^'^^ 



9 9- 

11 — 1 1-10 1 1 — 



^3- 



-8 8 11—8-11 



-9 9 — 812-912-11 12- 



-812—912-11 12- 



10 10—9 10 12- 



10 11- 



[oio] — he+ 



[1,3,2] 



l l^jJuJ I ^^W l ' l ^^ 



^3- 



-8—11—9-11 12- 



-9 9-121012- 



10—8- 



-8 8—11-9-11 12- 



10 1013-11 



10 11- 



o o o 



MW J * JJJJ ' J,> '' W 



^m 



[1,3,2,1] 

itr -' r rr r rrrrf^T i 



^ 



-8—11—9—8-11 1211- 



10—8 

-9 912 10-912 12- 



— 8 8—11-9-8-11 1211- 

110 11-10 



10 1013-11-10- 



6.2. MINOR THIRD 



99 



o o o 



[1,2,3,1] 



J^JJ^ J J JJJ ^^ 



ilJOT l rMr'irrAr^r^^ l 



,£- 



-8-10- 



-8 — 9—11-81112 11- 



-9 91012-9-12 12 



10-11 10- 



-8 8-9—11-8-1112 11- 



10 10-1113-10 



o o o 



[1,2,3,2] 




HSfe 



.93- 



-8 — 9—11-9-1112 12- 



-9 9-10-12-1012- 



-8-10-8- 



10-11 11- 



-8 8-9—11-9-1112 12- 



10 10-111311 



\0] — — \B\ 



m&i [1,4,2,3] 



te*te 



JF ^ J^J"' ^ 



5 




11 10 

-10 9 1310-12-10 13 



10 9 10-12 



-95 9 8 12—9—1 1-9 12 — 12 

8 1 1 1 1 



lO- 



ll— 8-10-8 11 11- 



| o | I | o | | o | o | [1,2,4,3] 




-8—11 11 



100 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



\0] — — \B\ 



m®i [1,3,2,4] 




\b] — — \o] — he- 



i°i [1,2,3,4] 




-8—11 11 



| o | I | o | o | P i [1,4,2,3] 



3 



1 



» r ^cic r r fr¥ l r ^ e 



i#*f 



» 



11 9- 



10 8 10-11 



-35 9 12-910-9 12 12 

8 1 1121 1 



10 13 10-11-10 13- 



10- 



11—8-9-8 11-12-11- 




-8—11 1211 



6.2. MINOR THIRD 



101 



| o | I | o | o | | o | [1,3,2,4] 




-8-12-11 11 



\0] — — \OiOi 



\®i [1,2,3,4] 




-8—11-12 11 



M | o | I | o | o | [1,3,4,2] 



5 



3 



*— efe 



tfrfttfW tf ^Frf i 



j^ l Hj fl Jtt J WW 



10-11 — 

-9-10 1213-910 12 



-8- 



910 12 9 



^33 8 — 9 1112-8 — 9 1112 



-8 10-11- 



— 10-11 8 10-11- 

10 12 



jWJ fl J"s ^fl 



o | | o | I | o | o | [1,4,3,2] 



^^^m 




11-10 — 

-10—9 1312-910 12 



-8- 



10-9 12-9 



-93 9—8 12-1 1-8 — 9 1 112 

8 10-11 



11-10 8 10-11- 

10 12 



102 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



JHjir ft J "%^ft 



3 



-93 9 8 12-8—11—9 11 — 12 

8 10 11 




heH — heH — — he 



i°i [1,2,4,3] 




m 



^mm^msm^ 



tr\r*,rrtrtrl& F££ 



tete 



11-lOn 



-Q 9—8 8-12-11—911 12 

8-10 11 



10-9 9 12 



10-12- 



11-10—8-10 11- 



-10—9 913 1210 12- 



| o | | o | I | o | o | [1,3,2,4] 




tt ^ ft jtt^ W=^ 



trtMrrtrtrH 




*-*& 



10 11- 



-9 10 12-9- 



-93 8 9 1 1-812—9 1 1 12- 

8 10 1 1 



— 10 11—8 10 11- 

10 12 



-9 10 12-9-13 10 12- 



| o | | o | I | o | o | [1,2,3,4] 



e^ete 



6.2. MINOR THIRD 



103 



\B] — hejel 



m [1,3,4,2] 




-8—11 10-11 




-8 11-10-11 



M | o | o | I P i [1,3,2,4] 



#w 




M&* r r kT*rfl ?&££ 



^ I flitf'rJ 



te 



Hi 



^ 



-10 — 10-9- 



-8—11-10 11- 



-9 9—8-12—9-12-11 — 12- 



-8 11—8-1 1-10 1 1- 



10 10—913101312- 



10 12- 



| o | | o | o | I | o | [1,2,3,4] 




-8-10-11 11 



104 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



\o] — [oio] — he+ 



[1,3,4,2] 



+% J w 



¥&m 



Wrk^ ttL 




10 — 

-9 10-12-9-10-13 12- 



-& 8 9—11-8 — 9-12 — 1112 



9 1012-9 



-8—11 10-11- 



-810 8—11 10-11- 



10 12- 



lO] — [OiO] — H^+ 



[1,4,3,2] 



r <■ , l r r»r»ir»r*r*r 1 T*r ff 




iV^J tf ^ J ^ J — 



10 

-9 1210-910 1312- 



-95 8- 



-9 1210-9 



-8 11-10-11- 



11—9—8 — 9 121112- 



— 10—8 8 11-10-11- 

10 12 



o o o o 



[1,3,2,4] 




Ji^||Jrt4 J ^ JJ "^g i 



f i rMrrivlciid ^ 




-lO-i 



-93 8 9—8—1 1—9-12 1 1 — 12 



9 10-912 



-8—11-10 11- 



-8 10—8—11-10 11- 



-9 10-912 1013 12- 



10 12- 



o o o o 



[1,2,3,4] 




-8-10-11 11 



6.2. MINOR THIRD 



105 



[e{o] — — he+ 



\®i [1,3,4,2] 



j jjjj ii j'yrf i 



,r.JnMr¥*f4fr 



PPp 



-8- 



-35 9 1012 9 10-12 



8-10 11 8- 



-812 9—1 1 12- 



-9—11— 
-10 11-13 10 1H 



-9—11 812 911 12- 

10 11 



[o+o] — — \o{ 



\®i [1,4,3,2] 



ttt} J \\JAMn,Ffm 



rr.^nrrY^ 



Yfvu 



W J t4 



-8- 



10—8 11—8 



^35 9 12 10 9 1012 



-8 12—9—11 12- 



11—9 

10 13-11 10 11- 



11-9 8 12-911 12- 



10 11- 



[o+o] — — he+ 



3 



1 



KH [1,4,2,3] 



i* 



r.P,ffMr¥itr¥ 



^gggg 



i^p^j 



^3 



11 9- 

10 13 11-10 11 



10 8 8—11 



-35 9 12 — 10-9 10 12 

8 912-1 1 — 12- 



—11 9 — 8 912 11 — 12- 

10 1 1 



fWr¥¥, 




-8 — 9 12-1112 



106 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



[e{o] — — he+ 



m [1,3,2,4] 




-8-12—9 11 — 12 



[o+o] — — \o{ 



\®i [1,2,3,4] 




w^n 




v \ \ \r¥r \ rkr & . 



* . ...,r r ftf\*r*& 




-9—1 1-\ 



-& 9 1012-9-10 12 



810 8—11- 



-8 — 912 11-12- 



10-11- 



-9—11—8-912 — 11-12- 



10 11-13-10-11- 



[o+o] — \o\ 



\®i [1,3,4,2] 



i 



S ..ri r ».. &t f& 



«& 



ipPp 



1 



—11 

-10 10-13 1013 11- 



-& 9 912 9-12 10 12 



10 10 8- 



-8—1 1 91 1 12- 



8—11 8-11 911 12- 

10 1 1 



[&tO] — \o\ 



\®i [1,4,3,2] 



i 



1 



J. 



ffife 



iPpp 



-8- 



10 10—8- 



-35 9 12-9 9 12 1012 

8 11—911 12- 



11 

10 13 10 10 13-1 1- 



1 1—8 8 11-91 1 12- 

10 11 



6.2. MINOR THIRD 



107 



| o | o | | o | I | o | [1,3,2,4] 




-8—11—9 11 12 




-8 — 9—11 1112 



o | o | | o | o | I I [1,3,4,2] 



JjJi^JJ^rfB 



w^s 



^ 



-8—11-12—911 



-910 912 1012- 

12— 



-8 10-11—8- 



10-11 1013- 

-8-9 8—1112-911 12 



11 



10 11- 



o | o | | o | o | I I [1,4,3,2] 



5 



Y r r ^rrrfrr i 



JJJjlJJJWJrTO 



^m 



,33- 



-8 1 1-10—8 



-8-12-1 1—91 1 12- 



10—9 9 121012- 



-9 — 8 812-11-911 12- 



1110 — 10 13-11 



10 11- 



108 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



o o o o 



[1,3,2,4] 



5PJ 




^J j ?J J J JJ W 



«r i frff» rfrrrr*rtt 



te 



^8- 



-8—1 1—912 1 1 12- 



-9 10-9-12 10 12- 



-8 10—8—11 



-8 9-8—11-912 11 12- 



10 11-1013-11- 



10 11- 



o o o o 



[1,2,3,4] 



Wrf^fi 




-8 — 9—11121112 



6.3 Diminished Fifth 



o o o o 



[1,3,4,2] 



^ r i »rrr jl rr a r l| r^ * 



jp^^ 



% 



-8-10- 



^8- 



-8—11 10- 



-8 9-12 11- 



-9 10 12 



-11- 



1012—9- 



-8-10 11- 

10 12 



1012-9- 



o o o o 



[1,4,3,2] 



f^ r i ttf ff^f^rMftt 



i J ^ 



^ 8- 



-8 11-10- 



10—8 

9 10 12- 

-9 12-11 



-11- 



1210—9- 



10—8 11- 

10 12 



1210-9- 



6.3. DIMINISHED FIFTH 



109 



o o o o 



[1,4,2,3] 



ttffflrr>,a 



wm 



-10 8- 



-35 8 9 11-12 



9 10 12- 



-8 10-11- 



-11- 



12—9-10- 



10 8—11- 



12-9-10- 



10 12- 



\0\ — \B\B] — H^+ 



[1,2,4,3] 



wm 




*rfe£T.,HJ 




^8- 



-8 9—11 12- 



-9 10-12- 



10—8- 



-810 11- 



11- 



-9-1210- 



1012- 



10—8—11- 



-9-1210- 



| o | | o | o | | o | I [1,3,2,4] 



W¥ ^ 



Mrr i 'rr*rfFfrfr¥* 



-8 10 



^8- 



-8—11-10- 



-8 — 9-12-11- 



-910 12- 



11- 



10—9-12- 



-8 10-11- 



10-9-12- 



10 12- 



HSH — \0{0\ 



t°H [1,2,3,4] 



S7pt^ j m 



irk£f.*&*W 



.33- 



-8-10-11- 



-8 — 9—11-12- 



-9-1012- 



-8-10- 



11- 



-9-1012- 



1012- 



-8-10-11- 



-9-1012- 



110 



CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 



Ho+oH — te4e+ 



[1,3,4,2] 



»rr»rr,«rfi[,ry"r & 



is 



iP « y tt 



-8-9- 



^8- 



-8—11-12—9- 



-9-12 10- 



-8 10 11 



10-11- 



10-11- 



11 12 8-9 11 12 

10 1 1 



O O 



[1,4,3,2] 



M 



», i m r,r»r i i „ r' glfe 



kk 



i ^PP 



m 



-9 — 8- 



^3- 



-8 10 11 



-8-12-11—9- 



-9 1210- 



11-10- 



11-10- 



11 12 9 — 8 11 12- 

10 11 



o o o o 



[1,4,2,3] 



Mr i »r*r rf p r M r r*rrT I 



iW^ J "'t 



-9 8- 



11 lO- 



ll 10 



^3- 



-8 10 11- 



-8-12—9—11- 



-9 1012- 



11 12 9 8-11 12- 

10 11 



O 



[1,2,4,3] 



i#i J |^ JJ]f 



irzrM 



W 



^ 



-8 10-11- 



-9 — 8- 



1112- 



11-10- 



-8 — 9-12-11- 



-910 12- 



10-11- 



-9 — 8-1112- 



11-10- 



6.3. DIMINISHED FIFTH 



111 



o o o o 



[1,3,2,4] 



fejA ^ 



** 



J»J|tJJ« JJJ " J 



-8 9- 



10 11- 



10 11 



^5- 



-8—11—9-12- 



-9-1210- 



-8-10 11- 



11 12 8 9-11 12- 

10 1 1— 



[&tO] — \0{Oi 



[1,2,3,4] 



PF 3 * 



iTOri'r' 



feg£j 



¥b 



^ 



-8 — 9—1112- 



-9-1012- 



-8-10-11- 



-8-9- 



1112- 



10-11- 



10-11- 



-8-9-1112- 



10-11- 



112 CHAPTER 6. HALF-WHOLE DIMINISHED SCALE GROUP 




Half-Whole 
Diminished Scale 
Group 



7.1 Major Sixth 



HsH — — — — \b\ 



PH 



trfnJ 



-12 9- 



12- 



11 11—8 8- 



-33 8 12 12- 

8 8 



[1,2,1] 



\0] — — — \Bi 



m 



mm* 



-li- 



48 12 12 

8-12-8 



11 11—8-12-8- 



[1,2,1] 



113 



114 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



\o] — \e\ 



[1,2,1] 






-11 11—8-10-8- 



^3- 



-8-10-8- 



12 12- 



o o o 



[1,3,2] 



§w 



M r>E£f feI I 



-9£ 9—8-12- 

8 



1312 10—9- 

-8 1 1 8 



12- 



| o | I I I | o | o | [1,2,3] 



=3 



^ Pr* 



1213 9-10 



-3Z 8 — 9-12 

8 



12- 



-8—11 8- 



\&\ 



m®i [1,3,2,1] 



b «rfrr» r r* 



mm 



1312 10—9- 



-3£ 9—8 12 12 

8 8 



8 1 1 1 1—8 8- 

12- 



7.1. MAJOR SIXTH 



115 



\Oi 



\m\ [1,2,3,1] 



&' 



A 



^m 



-12- 



1213 9-10 

-8 11 11-8 8- 



^B 8 — 9 12 12- 

8 8 



O O 



i°i [1,2,3,2] 



J IS zJM' 



lt r ii r ttrfpfji r * 



12-13-12 9-10-9- 

-8 1 1 8 



-35 8 — 9—8-12 

8 



12 12- 



o o o 



[1,3,2,3] 



§w 



m r f r ^ ^rf! 



131213 10—9-10- 

-8 8—11 8 



^B 9—8 — 9-12- 

8 



12- 



^4 



| Q | P I [1,3,2] 



P 



fej fe jg 



13-11 10- 



-8 1 1 8 12- 



^S 9 12- 

8 12 



11- 



116 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



hen 



m~\e\ [1,2,3] 



JJJPSSET' 



\\r tr*r tfr&\ 



^5- 



-8-12- 



-9-12- 



11- 



1113 10- 

-8—11 8-12 



O O 



m [1,3,2,1] 



» 



» f fY r r'Tr 



W*2 



13-11 10- 



-8 1 1 1 1-8 12-8- 



11- 



-35 9 12 12- 

8 12-8 



\Q\ 



| o | l ° l [1,2,3,1] 



fe »r*rfrrr'f z 



§« 



1113 10- 



11- 



-8 11 11-8-12 8- 



-& 9 12 12 



-8-12 8- 



\Oi 



\e^O] [1,2,3,2] 



m 




irTr.Ar 



11-1311 10- 



-8 11 8-12 12- 



^5- 



-9 12- 



11 11- 



-8-12 12- 



7.1. MAJOR SIXTH 



117 



\o\ 



\&^\ [1,3,2,3] 



3* 



t r fkf . Y 



13-1113 10 10- 

-8 8—1 1 8 12 



-95 9 9-12- 

8 12 



-11- 



\o] — — he^ — \b\ 



[1,3,2] 



*gj %j 



P|S 



-12-10 9- 



-53 8 12 

8 11 



12-10- 



11 8 11 



\B] — — [O] — \0\ 



[1,2,3] 



if 



gfegfe rtt 



1012 9- 



.93- 



-8—11- 



-8-12- 



1012- 



11 8-11- 



o o o 



[1,3,2,1] 



*rfrra>* 



ppfi 



1210 9- 



1210- 



11 11—8 11-8- 



.93 8 12 12- 

8 1 1-8 



118 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



heH — — \b] — IB} 



[1,2,3,1] 



i r r ( #f rTr^r r tt 



n 



if 



1012 9- 



^3- 



-8—11 8- 



1012- 
-8 12 12- 



11 11—8-11 8- 



o o o 



[1,2,3,2] 



* 




4 



W< 



is 



10-1210 9- 



^5- 



-8 12- 



10-1210- 



11 8-11 11 



-8—11 11- 



o o o 



[1,3,2,3] 



3*f 



, . JrtifiJ 




-12-10-12 9 9- 



-& 8 8-12 

8 1 1 



121012- 



11 8 11- 



[O] — \B\ 



m [1,3,2] 



fe=fe ^f j 



p 



13—9 10- 



-8 11 8 10 

9 



^33 9 12 

8 10 



7.1. MAJOR SIXTH 



119 



[O] — \B\ 



m [1,2,3] 



^m 



Urief otrf i 



-9-13 10 



-8—11 8-10- 



.93- 



-8-10- 



-9-12- 



\0\ — \0\ — — — \B\ 



[1,3,2,1] 



i« 



W 3 i 



-13—9 10- 



-8 1 1 11-8 10-8- 



-33 9 12 12- 

8 10-8 



o o o 



[1,2,3,1] 



te irkfrArt 



JJ tt J i 



-9-13 10- 



-8 11 11-8-10 8- 



.33 9 12 12- 



-8-10 8- 



\B\ — \0\ 



m [1,2,3,2] 



# 



^Jrttrfr>r 



-9-13-9 10 

-8 11 8-10 10- 



.33- 



-9 12- 



-9 9- 



-8-10 10- 



120 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



heH — h&+ 



m [1,3,2,3] 



\\ <0 - * 



=H^t 



13—9-13 10 10 

-8 8—1 1 8 10 



-95 9 9-12- 

8 10 



\0] — \B] — — H3H 



[1,3,2] 



, Jr Tku r\ 



m 



m 



12—9 9- 



-53 8 12 

8 10 



12-9- 



11 8 10 



\o\ — \e\ — — \o\ 



[1,2,3] 



m 



.kkfi,\ 



-9-12 9- 



^5- 



-8-10- 



-8-12- 



-9-12- 



11 8-10- 



o o o 



[1,3,2,1] 



, . *rf*rr»>r t 



wm 



-12—9 9- 



12-9- 



11 11—8 10-8- 



-95 8 12 12- 

8 10-8 



7.1. MAJOR SIXTH 



121 



heH — heH — — [Oi 



[1,2,3,1] 



, >rl*rfr^ 



^S 



-9-12 9- 



^5- 



-8-10 8- 



-9-12- 
-8 12 12- 



11 11—8-10 8- 



o o o 



[1,2,3,2] 



, JritrfraJ 



m 



-9-12-9 9- 



^8- 



-8 12- 



-9-12-9- 



1 1 8-10 10- 



-8-10 10- 



lO] — HsH — — H^+ 



[1,3,2,3] 



» - Jr f*r IVffrrf 



12—9-12 9 9- 



^B 8 8-12 

8 10 



12-9-12- 



11 8 10- 



| o | I | o | | o | o | [1,3,4,2] 



3***% 



fii* 



JtrffTJ 



-12-1310 9-10- 



-8 11 8 11- 



^95 8 — 9 12 

8 1 1 



12 10- 



122 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



| o | I | o | | o | o | [1,4,3,2] 



#H 



trlzr*, n 



tjr-pgj- 



13-1210 10—9- 



-95 9—8 12- 

8 1 1 



-8 11 8 11 

1210 



o o o 



i°i [1,4,2,3] 



%d 



J l MJ^&H ' 




J 



-13-10-12 10 9- 



-8 11 8 11- 



-93 9 8-12- 

8 11 



10-12- 



| o | I | o | | o | o | [1,2,4,3] 



=P« 



fete * 



n 



101312 10—9- 

-8 11 8-11 



-& 9—8-12 



10 12- 



-8—11- 



| o | I | o | | o | o | [1,3,2,4] 



3*f 



# 



..UrlifJrrr , 





-3£ 8 9-12 

8 1 1 



12-10- 



12-10-13 9 10 

-8—11 8 11 



7.1. MAJOR SIXTH 



123 



| o | I | o | | o | o | [1,2,3,4] 



jTO^^g 



«,«rJ^f,r» 



^5- 



-8—11- 



-8 — 9-12- 



1012- 



101213 9-10- 

-8—11 8-11 



to] — HsH — — he- 



\0\ [1,3,4,2] 



»rff*r,rn 



J3« 



1213—9 9-10- 



-8 11 8 ID- 



'S 8 — 9 12 

8 10 



12 9- 



M r J 



o | | o | I | o | o | [1,4,3,2] 



wm 



1312—9 10-9- 



-8 11 8 10- 



^B 9—8 12- 

8 10 



12-9- 



M | o | I | o | o | [1,4,2,3] 



te^ jrTj tr_D 



W$ 



^S 9 8-12- 

8 10 



13—9-12 10 9- 

-8 11 8 10 

9-12 



124 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



H34 



| o | I | o | o | [1,2,4,3] 



M 



M r*£k±f tr* 




9-1312 10-9- 

-8 1 1 8-10 



.93- 



-8-10- 



-9—8-12- 



-9 12- 



\Of 



| o | I | o | o | [1,3,2,4] 



UrTkT*T\r^ 



^ 



-93 8 9-12 

8 10 



12-9- 



12—9-13 9 10 

-8—11 8 10 



hen — \o\ — — [O- 



W [1,2,3,4] 



arMl^ 



.93- 



-8-10- 



-8 — 9-12- 



-9-12- 



9-1213 9-10 

-8—11 8-10 



7.2 Minor Third 



o o 



[1,2,1] 



i^ttW" 



r i .r^rrf rJV s^ 



-10 — 
-9 12 10 10- 



.93 8- 



-8 8—11 11- 



-9 12 

-1 1 9 9-12 12- 



10 8 8—11 11- 

10 10 



7.2. MINOR THIRD 



125 



O O 



[1,2,1] 



^^pBggg 



* 



f^rTr' A/ 1 ^ 



^ 



-8 11- 



-8-12-8—11 11- 



-10 9 9-12 12 



-9 8-12-8—1 1 11- 



-11 10 10- 



10 10- 



o o 



[1,2,1] 



«ct;tfn 



I73fl.ro 



.93- 



-8-10-8—11 11- 



-8 9—11-9-12 12- 



101210- 



-8-10-8—11 11- 



-9 101210- 



\0] — — — — \OiO] 



[1,3,2] 




iWj 



m 



^. Mf l r^rfe g T* 



*L*Jt\t 




1110- 



-8- 



10-9 12 



-95 9—8 12-11—9 12 

8 1 1 



10- 



10—9 131210- 

11-10—8 11 



\o\ 



\g\g\ [1,2,3] 



».#*»rts 



126 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



\Oi 



m®i [1,3,2,1] 



m J j fl j ft* ^ 



J ,J L MJ | JrV J r'r l Tr»rr ,l rr'E 
^it J *Jf -g ^f4S == gn I r > 






-11-10 — 
-10—9 13-12 10 10- 



-10-9 12- 



1110 8 8—11 11- 



-95 9—8 12-11 9 912 12 

8 8—11 11 



10 10- 



\o\ — — — — \& 



i°i [1,2,3,1] 



i'^4 



m 



i 



fe#4 



mm 



10-11 — 
-9-10 1213 10 10- 



^ 8—9- 



-8 8—1 1 1 1- 



-910 12 

1112 9 9-12 12 



10-11 8 8-11 11- 



10 10- 



Hs4 



H>N [1,2,3,2] 




j J W J # Jtt 



Mr^rrrit 




etete 




-10-ll-lOn 



-^ 910-9 12 12 

-93 8 — 9—8 1 1-12-1 1—9 12 



-8 11- 



10- 



910-9 1213 1210- 

10-11-10—8 11 



\Oi 



m^\ [1,3,2,3] 



Mf i fjrH r ft ^ 



^ ±*± JWpfe 




o'-h-o' 



jiffi^jw j '^s 



-ll-10-ll-i 



-8 8- 



-^ 10-910 12- 

-95 9—8 — 9 12-1112-9 12 



-11- 



10- 



10—910 13 12 1310- 

11-10-11—8 11 



7.2. MINOR THIRD 



127 



\0] — — — \B] — \B] 



[1,3,2] 



1 



,.r>»fWf'f*£ 






-11—9- 



-8- 



10 13-11-10- 



^93 9 1210-9 

8 12-1 1 



10—8 11 

12 



10- 



11-9 — 8 12-11- 



\o\ — — — \q\ — \e\ 



[1,2,3] 



rJrftr¥t 




-8-12 11 



\o\ 



m 



i 



t©H<H [1,3,2,1] 



i* 



a 



to* 



ym^ 



J$ d J H 



i 



sa 



11—9 

10 13-11 10 10- 



-8- 



10—8 1 1- 



-93 9 12 10 9 9-12 12 



-8 12-8—11 11- 



1 1-9 8 12-8-1 1 1 1- 



10 10- 



\Bi 



m-\e\ [1,2,3,1] 



^1JitJ J ip»r« 



^ A .^ r kfM?% 



pPif 



-9—11 

10 1 113 10 10- 



^ 8-10 11 

-95 9 10 12 9 9-12 12 

8-12 8—11 11 



9—1 1 8-12 8-11 1 1- 

10 10 



128 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



\Oi 



\^^\ [1,2,3,2] 




-8-12 12-11 



\o\ 



\^^i [1,3,2,3] 



fpf»ffrflr'f¥f 




-Q 9 9 12 10 12-9 

8 12 11 



[O] — — [O] — \B\ 



[1,2,3] 




i fl J'J ft '* 



c i ^r^rl* 



^m 




-10- 



^5- 



-9 10-12- 



-8—11 11- 



-8 9—1 1-9-12 12- 



10- 



-8-10-8—11 11- 



-9 10-121013- 



hSH — — \B] — [Oi 



[1,3,2,1] 



r^ i pntf^r*r'rr r fr r rFfr i 



JWJJh 



-io 

-9 1210 10 1310- 



^S 8- 



-8 11-8-11 11- 



-9 12-10 

11—9 9 12-9-12 12- 



10—8 8 11-8-1 1 1 1- 

10 10 



7.2. MINOR THIRD 



129 



O O O 



[1,2,3,1] 



Fr. i F<trrrr*r tt rr r rr r rfFr i 



^m 



=# 



—10 — 
-9 1012 1013 10- 



.93- 



-9 1012- 



8 9—11 9-12 9-12 12 

-8—11 8-11 11 



-8-10 8—11 8-11 11- 



10 10- 



\o\ — — \b\ — he+ 



[1,3,2,3] 



JJftJJJH' 1 ' 1 ^ ^ 




10 10- 

-9 9 12-101210 13 



9 9 121012 



-95 8 8 11—9-11-9 12 12 

8 11 11 



10- 



10—8-10-8 11 11- 



heH — \&\ 



m [1,3,2] 



±^j£. 




\o\ — \o\ — — — \o\ 



[1,2,3] 



***te 




-810 11 



130 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



% 



| | o | I I | o [1,3,2,1] 



3 



te, 



" r rrffr i 



I HjJ ft J tH ^ 



-li — 

10 13—9 10 1210 



-93 9- 



-10- 



-9- 



-8 10-8—11 11- 



12-8 9 11-9-12 12 



11 8 10-8—1 1 1 1- 

10 1210 



\o] — \Oi 



m [1,2,3,1] 



3 



1 



#. 



ltr.»,VMHrfr gSfe 



ffggpggpg^ gg 



—li — 

-10 9-13 1012 10 



^93- 



10 9 

-9 8-12 9—1 1 9-12 12 



-810 8—11 11- 



11 8-10 8—1 1 1 1- 



1012 10- 



o o 



m [1,2,3,2] 



FJjiJ^^ jt 




te, 



r^rr^rr ftf "r^rrf | 



ii — 

10 9-13-91012 12 



-3£ 9 8-12-8 — 9—11 1112 



10 9 9 



-8-10 10-11- 



11 8-10 10-11- 



1012 12- 



\o\ — ^+ 



m [1,3,2,3] 



~ *u ftuffjf^f 



7.2. MINOR THIRD 



131 



h^ — \0] — — \Oi 



[1,3,2] 



ggfegl 






s 



f 



10 — 

-9 12-9-10 12 



9 12-9- 



^5 8 11-8 — 9 1112 



-8 10-11- 



10 8 10-11- 



10 12- 



\0] — \0] — — \Bj 



[1,2,3] 




m 



pips 



to 




-10- 



.93- 



-9 9-12 



-8 8—11—9-11 12- 



10-12- 



-10—8-10 11- 



-9 9-121012- 



-810 11- 



o o o 



[1,3,2,1] 



,jrrrr*r lt rrrYrr r rFfr i 



^J» JJ J ^ 



10 

-9 12-9 10 1210- 



9 12-9- 



-95 8 11-8 9 11-9-12 12 



-8 10-8—11 11- 



-10 8 10-8—11 11- 



10 12-10- 



o o o 



[1,2,3,1] 



,r. i ,rr,»rr tt rf'' r rf r rfFr i 



^J J " J i 



—io — 

-9 9-12 1012 10- 



^s- 



9 9-12 

8 8—1 1 9-1 1 9-12 12- 

-8-10 8—11 11 



10 8-10 8—11 11- 



1012 10- 



132 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



ai„ I J»JJ«. 



o | l ° l I l ° l I [1,2,3,2] 



flJJ^J jt J^gffi ^ 



«« 



t&m 



10 — 

-9 9-12-9-1012 12- 



^5- 



-9 9-12-9- 



-8 8—11-8 — 9-11 1112- 



-8-10 10-11- 



10 8-10 10-1 1- 



1012 12- 



\o\ — HsH — — he+ 



[1,3,2,3] 



flJE' ' qP ' g 



p -, \ .r *nMrt% 




10 10- 

-9 9 12-9-12-10 12 



9 9 12-9-12 



10 10—8 10 1 1- 



-95 8 8 11-8-11—9 11 12 

8 10 11 



10 12- 



o | 1 | o | | o | o | [1,4,2,3] 

\ 



J^ltJWJ J ^^ JJJ £^ r 



tecte 




11 10- 

-10 9 13 101210 13 



10 9 10-12 



-93 9 8 12—9—1 1-9 12 — 12 

8 1 1 1 1 



lO- 



ll— 8-10-8 11 11- 



heH — — \o] — he- 



\Q\ [1,2,4,3] 




-8—11 11 



7.2. MINOR THIRD 



i;« 



\0] — — \B\ 



m®i [1,3,2,4] 




\b] — — \o] — he- 



i°i [1,2,3,4] 




-8—11 11 



| o | | o | I | o | o | [1,3,4,2] 



5 



3 



*— efe 



*rr>r ll rr jr*tC: r r^rT^ i 



j^ l Hj fl Jtt J WW 



10-11 — 

-910 1213-910 12 



-8- 



910 12 9 



^33 8 — 9 1112-8 — 9 1112 



-8 10-11- 



— 10-11 8 10-11- 

10 12 



jWJ fl J"s ^fl 



o | | o | I | o | o | [1,4,3,2] 



^^^m 




11-10 — 

-10—9 1312-910 12 



-8- 



10-9 12-9 



-93 9—8 12-1 1-8 — 9 1 112 

8 10-11 



11-10 8 10-11- 

10 12 



134 



CHAPTER 7. HALF-WHOLE DIMINISHED SCALE GROUP 



| o | | o | I | o | o | [1,4,2,3] 



te*te 



J t HJiH jt J ^f^t 



3 



-35 9 8 12-8—11—9 11 — 12 

8 10 11 




| o | | o | I | o | o | [1,2,4,3] 




| o | | o | I | o | o | [1,3,2,4] 




J H ft Jtt'V tt 3 ^ 



u \ .rArtM\rn 




^tJt 



10 11- 



-9 10 12-9- 



-35 8 9 1 1-8-12—9 1 1 12- 

8 10 1 1 



— 10 11—8 10 11- 

10 12 



-9 10 12-9-13 10 12- 



| o | | o | I | o | o | [1,2,3,4] 




*r i r rr Wrie r* 



JWai ] W^ £££a l ^£^ 





4. 



10-11- 



9-10 9-12- 



-95 8 — 9 8—1 1-12—9-1 1 12 

810 11 



1012- 



10-11—8-10 11- 



-910 9-1213 1012- 




Half-Whole 
Diminished Scale 
Subset 



The patterns in this chapter suggest the Half- Whole scale but do not contain all 
of its notes. Most players will find they can be used in the same contexts as those 
containing the entire scale, although they do give somewhat different flavours. 



8.1 Diminished Fifth 



Hs4 



\oi 



[1,2,1] 




^5- 



-10- 



-12- 



12- 



-9 10 lO- 



ll 11 10 11 11 

10 10 



-8 8- 



135 



136 



CHAPTER 8. HALF-WHOLE DIMINISHED SCALE SUBSET 



\o] — \e\ 



[1,2,1] 



*& Srrrt lS ] 



PP 



^5- 



-8-10-8- 



-9—11-9- 



-101210- 



11 11 11 11 

101210 



o o o 



[1,3,2] 




§W 



X JJffrr \ $t Z J~ r ffrft 



-Q 9—8 — 9 



10-9-10- 



11-10- 



1312- 



11 11-10-11- 

10 



-13-12- 



hsn- 



H>N [1,3,2,1] 



g ^>"r^ i » 



faM 



jwj t 



^8- 



-9—8 9 9- 



11-10 

10-9 10 10- 



1312- 



1312- 



1 1 1 1 1 1-10 1 1 1 1 

10 10 



-8 8- 



Hs4 



m®i [1,2,3,1] 



JJ1 fjf ~|fe = _g J4 



^^ 



^3- 



8 — 9 9 9- 

-8 8 



10-11 

-9-10 10 10 



1213- 



1213- 



1 1 1 1 10-1 1 1 1 1 1 

10 10 



.1. DIMINISHED FIFTH 



137 



\Oi 



\m\ [1,2,3,2] 




JpttrH 




^95 8 — 9—8 — 9 

8 



-9-10-9-10- 



10-11-10- 



12-1312- 



1 1 10-11-10-1 1- 

10 



12-1312- 



\o] — \b\ — — — \e\ 



[1,3,2] 



3 f|>r i » 



if 



P 



-ii- 



-35 9 9 11 

8 10 



10 10 12 



-13—9 13-9- 



11 11 11- 

10 12 



o o o 



[1,3,2,1] 






£ 



J J JJ 



-li- 



^B 9 9 11-9 

8 10-8 



10 10 12-10 



13—9- 



13-9- 



11 11 11 11 11- 

10 1210 



heH — \oi 



m [1,2,3,1] 



jj | rr » i r | »A 



£ 



P=f 



-ii- 



-9-13- 



-9-13- 



^5- 



-8-10 8- 



-9 9—11 9- 



10 1012 lO- 



ll 11 11 11 11- 

1012 10 



138 



CHAPTER 8. HALF-WHOLE DIMINISHED SCALE SUBSET 



O O 



m [1,2,3,2] 



IP 



J^rJr.M 



-li- 



^5- 



-8-10 10- 



-9 9—11 11- 



10 1012 12 



11- 



-9-13-9- 



—11 11- 

1012 12 



-9-13-9 




l dom + b6 ma i Scale 
Group 



9.1 Augmented Fifth 



o o 



[1,2,1] 



E^S 



-10- 



-9 9 



-11- 



^B 8 11 11- 

8 8 



HsH — — \Oi 



[1,2,1] 



* 



P 



-9-12-9- 



^ 



-8—11-8- 



11 11- 



139 



140 



CHAPTER 9. l DOM + b6 MAJ SCALE GROUP 



9.2 Major Third 



o o 



m 



m 



[1.2,1] 



11- 



10 9 9- 



10 9 9- 



-95 8 12 1 1 1 1- 

8 8-12 12 



10 10- 



\0\ — — h&+ 



[1,2,1] 



Pf 



^i 1 ^ _ m 



iMfe 



-8 9-12-9- 



-9-12-9- 



^5- 



-8—11-8-12 12- 



10 11 11- 



10 10- 




4 min + 7 min Sca | e 
Group 



10.1 Diminished Fifth 



o o o 



[1,3,2] 



HrPfr'Tr* 



m 



10- 



^33 8 9 1 1 

8 10- 



9 10 12- 



12—9- 



11 10 1 1- 

10 12- 



12-9- 



heH — he^ — — \b\ 



[1,2,3] 



t r kf .r M 



cJJr^UJ 




^B 8—9—1 1 



-9-1012- 



-10- 



-11- 



-9-12- 



1012- 



10-11- 



-9-12- 



-8-10- 



141 



142 



CHAPTER 10. A MiN + 7 M1N SCALE GROUP 



o o o 



[1,3,2,1] 



^rf^rrrVr r*rfrn 



^m 



-10- 



-33 8 9 11-9 



9 10 12-10 



-8 10-8- 



12—9- 



12-9- 



11 11 10 11 11 

10 1210 



to] — \o] — — h^+ 



[1,2,3,1] 



tei 



r r\M 



m> 



10- 



^s- 



-8-10 8- 



-8 9—11 9- 



-9 1012 10- 



-9-12- 



-9-12- 



11 11 10 11 11 

1012 10 



W^ 



1 



| o | | o | I | o | I [1,2,3,2] 



10- 



^5- 



-8 9—11 11- 



-9 1012 12 



11- 



-9-12-9- 



10 11- 



-9-12-9 



1012 12- 



-8-10 10- 



jj\J J ^ J [JM 



| o | | o | I | o | I [1,3,2,3] 



10 10- 



-95 8 8 — 9 1 1 

8 10 



9 9-10 12- 



11- 



-12—9-12- 



10 10-11- 



12-9-12 



10 12- 



10.1. DIMINISHED FIFTH 



143 



| o | | o | I | o | o | [1,3,4,2] 



j j J r r»rn» ^ j r r¥ 



i^3 



-10-11- 



-35 8 — 9 9 1 1 

8 10 



9-10 10 12 



-11- 



-12-13—9- 



10-11 11- 

-10 12 



-12-13-9- 



jt«P^ ; 



| o | | o | I | o | o | [1,4,3,2] 

Mr» i »rfn*r.riir>lt 



iPWI 



-11-10- 



-35 9—8 9 11 

8 10 



10-9 10 12- 



-11- 



1312—9- 



11-10 11- 



1312-9- 



10 12- 



| Q | | Q | I | o | o | [1,4,2,3] 



J7n j p r ti p I j^- tt rf. f ,to i 



J it ^Jw » J 



11 — 10- 



-S> 10 9-10 12- 

-35 9 8 — 9 11 



-11- 



13—9-12- 



11 10-11- 



13-9-12- 



10 12- 



-8 10- 




jmhw J !M 



| o | | o | I | o | o [1,2,4,3] 



M niH 



m 



wt 




^35 9—8 — 9—1 1 

8-10 



10-9-10-12- 



-11-10- 



-11- 



-9-13-12- 



-10-12- 



11-10-11- 



-9-1312- 



144 CHAPTER 10. A MiN + 7 M1N SCALE GROUP 



2 maj + ^maj Sca | e 
Group 



11.1 Diminished Fifth 



o o o 



[1,3,2] 



P-* 



*&&*?* 




PP 



9 10- 



-10—8- 



^33 8 9 12 

8 11- 



1210 1210- 



-11 10—8—11- 

10- 



\m — — hen — \o\ 



[1,2,3] 



=^M# 



jj^^ i '^e^r'^ i 



.33- 



-8—11- 



-8 — 9-12- 



-9-10- 



-8-10 



1012 1012- 



11 8-10-11- 

10- 



145 



146 



CHAPTER 11. 2 MAJ + p J SCALE GROUP 



o o o 



[1,3,2,1] 



*r rrr rV^r r** r rrr 



^s 



10—8- 



-33 8 9 12-9 



9 10 10 



-8 11-8- 



1210- 



1210- 



11 11 10—8 11 11 

10 10 



o 



[1,2,3,1] 



* 



f rk\ r^ EX 



m> 



W' 



-8-10- 



^s- 



-8—11 8- 



-8 9-12 9- 



-9 10 10 



1012- 



1012- 



11 11 8-10 11 11 

10 10 



\0] — — \Bj 



\&H [1,2,3,2] 



^f^# 



5 



h.. O^rttrf r l »£££Tr*r l| r r*tM ^ 



^5- 



-9 10- 



-8-10-8- 



11- 



10-1210- 



-8—11 11- 



-8 9-12 12- 



10- 



-8-10-8—11- 



-10-12-10- 



\o] — — \e\ 



t°H [1,3,2,3] 



i'V' tt 



tti»f f; — w^ 



#"£l» 




-33 8 8 — 9 12 

8 11 



9 910- 



-10—8-10 



-12-10-12- 



-11 10—8-10-11- 



-12-10-12 



10- 



11.1. DIMINISHED FIFTH 



147 



O O O 



[1,3,2] 



Wr \ *lXtrW - 



^m 



nJJtJayrHJgj 



^5- 



-8—11-10- 



-9-12-11- 



10 12 



10—9- 



11 8 11- 

10 12- 



10-9- 



o o o 



[1,2,3] 



JJ || J^ ff 



r rtfr l ^ - ^f r *r£ 



^5- 



-8-10-11- 



-9—1112- 



1012- 



-11- 



-9-10 9-10 

-8-11 



1012- 



\b] — \e\B\ 



[1,3,2,1] 



ii I .ji. h r - 1 » | " f*r r .a>h> . f f | 



m 



w\ 



,33- 



-8—11-10-8- 



-9-12-11-9- 



10 1210- 



10—9- 



10-9- 



11 11 8 11 11- 

10 1210 



hen — \b\b\ 



[1,2,3,1] 



W 



i££ 



i£ig 



P 



f 



-8- 



,33- 



-8-10-11-8- 



-9—1112-9- 



1012 10- 



-9-10- 



-9-10- 



11 11 8 11 11 

1012 10 



148 



CHAPTER 11. 2 MAJ + p J SCALE GROUP 



o o o 



[1,2,3,2] 



7m ,rir\r \ ¥rTr,rM 



JJ ^ Ji j J tf ^ff 



-8- 



^3- 



-8-10-11-10- 



-9—111211- 



1012 12 



-11- 



-910-9- 



8 11- 

1012 12 



-910-9- 



heH — \o\o\ 



[1,3,2,3] 



H r i ttrfttrr rWrrrrH 



j^jtjjj^jff 



-8 8- 



^8- 



-8—11-10-11- 



-9-12-1112- 



10 12- 



11- 



10—9-10- 



-8 8-11- 



10-9-10 



10 12- 



| o | I l ° l | o | o | [1,3,4,2] 



*^f 



^ P r»r>r i 'E=E£^ ^ 




-9-10 10- 



10-11—8- 



12-1310- 



11 10-11—8-11- 



12-1310 



-3£ 8 — 9 9 12- 

8 11- 



-10- 



o o o 



[1,4,3,2] 



j tt J ^ fl J | W 



^ rttrTtn' 




&&d 




-10-9 10- 



11-10—8- 



11- 



13-1210- 



^33 9—8 9 12- 

8 1 1- 



-10- 



11-10—8—11- 



13-1210- 



11.1. DIMINISHED FIFTH 



149 



| o | I | o | | o | o | [1,4,2,3] 



j I H fl JW 



J I JJr^n* 



fedrf 



-95 9 8 — 9 12 

8 11 



10 9-10- 



-11—8-10- 



-11- 



-13-10-12- 



-10- 



-11—8-10-11- 



-13-10-12 



o o o 



\0\ [1,2,4,3] 







Wt 



ggE 



-93 9—8 — 9-12 



10-9-10- 



-8—11-10- 



-8—11- 



-11- 



10-1312- 



-8-11-10-11- 



10-1312 



10- 



o o o o 



[1,3,4,2] 



m r tM r I *r j r^r ^ r h, r r =#^ 



3j^Hj 




-8—11- 



^5 9 9-12 11 



10 10 12 



-8—11 10- 



11- 



1013—9- 



-8-11 11- 



1013-9- 



10 12- 



| o | | o | o | I | o | [1,4,3,2] 



TT }J?M r A'TPr,rMrrTrr \ 



3#"W 



^S 9- 



-8 11-10- 



11—8 

10 10 12- 

-9 12-11 



11- 



1310—9- 



11—8 11- 

10 12 



1310-9- 



150 



CHAPTER 11. 2 MAJ + p J SCALE GROUP 



| o | | o | o | I | o | [1,4,2,3] 



S^Bsfe te 



£ 



W Jj | J 



11 8- 



-35 9 9 11-12 



10 10 12- 



-8 10-11- 



11- 



13—9-10- 



11 8-11- 



13-9-10 



10 12- 



| o | | o | o | I | o | [1,2,4,3] 



% J $ J W 



Jr&, \ tri 




^5- 



-10 10-12- 



11—8- 



-9 9—11 12- 



-8-10 11- 



11- 



-9-1310- 



1012- 



11—8-11- 



-9-1310 




Double Chromatic 
Scale Group 



12.1 Diminished Fifth 



\Oi 



| o | o | o | [1,3,4,2] 



m 



^.rtrntrlft^ i 




,33- 



-8 — 9 9- 



-9-10—8-10- 



10-11-9- 



-11- 



1213-11- 



10- 



10-11-9-11- 



12-1311- 



-8 12- 



HsH — — — he- 



^>N [1,4,3,2] 



J tt «V J tt 



^"JjJf^r n^cf ^r r^r r^ 




^s- 



9—8 9- 

-8 12 



10-9 — 8-10- 



1110-9- 



-11- 



1312-11- 



10- 



11-10-9—11- 



13-1211 



151 



152 



CHAPTER 12. DOUBLE CHROMATIC SCALE GROUP 



Hs4 



| o | o | Q | [1,4,2,3] 



j tt J JM' 



jttj ^p r^r i ftp f f-T * r r ^ 






-35 9 8 — 9 



-10—8-9-10- 



11-9-10- 



-11- 



-13-11-12- 



11-9-10-11- 



13-1112 



10- 



-8 12- 



\o] — — — he- 



<n®i [1,2,4,3] 




^5- 



-8-12- 



-9—8 — 9- 



-8-10-9-10- 



-9—11-10 



11- 



11-1312- 



10- 



-9-11-10-11- 



11-1312 




Triple Chromatic 
Scale Group 



13.1 Augmented Fifth 



[Oj 




§pp* 






-11-10 



-95 9—8—11 

8 



12-11- 



RN [1,3,2] 



\Oi — — — — \OiO] 



j^sy 



ffe 



-10-11 



^93 8 — 9—11 

8 



-11-12- 



[1,2,3] 



153 



154 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



\Oi 



\m\ [1,3,2,1] 



gB r$& 



gPPg^ 



11-10 — 

-9 9 



12-11- 



-93 9—8 11 11- 

8 8 



o o 



m [1,2,3,1] 



r^f¥ 



^^ 



10-11 — 

-9 9 



1112- 



-93 8 — 9 11 11- 

8 8 



o o o 



[1,2,3,2] 



=FM 



m 




w 



gjlg^ 



10-1110- 



-Q 8 — 9—8—11 

8 



-11-12-11- 



\Oi 



H>N [1,3,2,3] 



Mrh 



J tt ^W^tt 




11-10-11 



-& 9—8 — 9—1 1 

8 



12-1112- 



13.1. AUGMENTED FIFTH 



155 



O O 



m [1,3,2] 



SHf 



Je 



-11- 



H 9 11 

8 11 



12-9- 



-9 12 



Ipifl 



M I l ° l I | o | [1,2,3] 
ft* 



^S 9-11 



-9-12- 



-9-12- 



11- 



-8—11- 



l ° l I l ° l I l ° l [1,3,2,1] 



^f 



^ m^¥ 



^ 9- 



-8 11-8- 



12-9 

11 11 



11 

-9 12-9- 



?f 



w> 



o o 



^ r r*r 



\e\ [1,2,3,1] 



9-12- 



11 

-9-12 9- 



-& 9 11 11 

8—11 8 



156 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



5f 



# 




o | I | o | I | o | [1,2,3,2] 



11- 



^5- 



-9 11- 



-9-12-9- 



-9-12 12 



-8—11 11- 



^n 



0—^- 



o | I | o | I | o | [1,3,2,3] 



-li — li 



-33 9 9—11 

8 11 



12-9-12- 



-9 12- 



o o o 



[1,3,2] 



% 



^J 



-10- 



^5 8 11 

8 11 



-11-9- 



-9 12 



o o o 



[1,2,3] 




-&- 



5f 



-8—11- 



-8—11- 



-9—11- 



-9-12- 



-10- 



13.1. AUGMENTED FIFTH 



157 



heH — — \&\ 



\OH [1,3,2,1] 



JTO JI " JJ 



-10- 



11-9- 



-9 12-9- 



^95 8 1 1 1 1 



-8 11-8- 



o o o 



[1,2,3,1] 



§FP 



i 



-10- 



48- 



-9—11- 



-9-12 9- 



-8—11 8- 



-8 11 11- 



o o o 



[1,2,3,2] 



* 



? 



-10- 



-95 8 n 



-9—11-9- 



-9-12 12- 



-8—11 11- 



o o o 



[1,3,2,3] 






-10 10- 



-95 8 8—11 

8 1 1 



11-9-11- 



-9 12- 



158 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



o o o 



[1,3,2] 






* 



-10- 



-S 8 11 

8 10 



-11—8- 



-9 11 



o o o 



[1,2,3] 



■ jgPr«LT i 



10- 



^5 8-11 



-8—11- 



-9—11- 



-8-10- 



\o\ — \Q\ — — h^+ 



[1,3,2,1] 



wm 



lO- 



ll— 8- 



-9 11-9- 



-& 8 11 1 1 - 

8 10-8- 



| o | | o | I | o | I [1,2,3,1] 



3p 



* 



-95 8 n 

8-10 8 



-8—11- 



10 

-9—11 9- 



11- 



13.1. AUGMENTED FIFTH 



159 



o o o 



[1,2,3,2] 




3=5^ 



-10- 



H 8 11- 



-8—11-8- 



-9—11 11 



-8-10 10- 



heH — heH — — hSH- 



[1,3,2,3] 






* 



-10 10 



^B 8 8—1 1 

8 10 



11—8-11- 



-9 11- 



\Oi 



| o | o | Q | [1,3,4,2] 



m 



W* 




10-11—9- 



^B 8 — 9 11 

8 12 



-11-12-10- 



o o o o 



[1,4,3,2] 



& 



Jgjgt 



gH 



-11-10—9- 



^B 9—8 1 1 

8 12 



12-11-10- 



160 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



\Oi 



| o | Q | Q | [1,4,2,3] 



$nAr 




11—9-10 



-& 9 8—1 1 

8 12 



12-10-11- 



o o o 



\0\ [1,2,4,3] 



P« 



#^ ,l 



feW 



-9—11-10 



^3- 



-8-12- 



-9—8—11- 



-10-12-11- 



\Q\ 



| Q | Q | Q | [1,3,2,4] 



wm 



gg 




f44r 



10—9—11 



-3£ 8 9—11 

8 12 



-11-10-12- 



\Oi 



| o | o | Q | [1,2,3,4] 



^$ 




jfigfe 



-9-10-11- 



-9£ 8—9—1 1 

8-12 



10-1112- 



13.1. AUGMENTED FIFTH 



161 



| o | | o | I | o | o | [1,3,4,2] 



JJ|MJ«E^yr 



m 



-10-11- 



^93 8 — 9 1 1 

8 10 



1112—8- 



-9 11 



to] — HsH — — he- 



\0\ [1,4,3,2] 



=H 



Mn* 



H£ 



11-10- 



^93 9—8 11 

8 10 



12-11—8- 



-9 11 



J tt 'JU'fff 



o | | o | I | o | o | [1,4,2,3] 



11 10- 



^93 9 8—11 

8 10 



12—8—11- 



-9 11- 



| o | | o | I | o | o | [1,2,4,3] 




^93 9—8—1 1 

8-10 



-8-12-11- 



-9—11- 



11-10- 



1G2 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



# 



m 



o | | o | I | o | o | [1,3,2,4] 



-10 11 



4Q 8 9—1 1 

8 10 



-11—8-12- 



-9 11- 



'« -m 




o | | o | I | o | o | [1,2,3,4] 



48 8—9—1 1 



-8—11-12- 



-9—11- 



-10-11 



-8-10- 



13.2 Major Third 



\o\ 




p p gag 



i»^ ,l 



m^\ [1,3,2] 



8 12-11 



-95 9—8 12-11 

8 12 



■10- 



1110-9- 



-11-10—9- 



-10—9- 



[Oj 



eT^ - ^m.. t^-^— j- ^ff— 



RN [1,2,3] 



-910 



^S 8 — 9 12 1 1 

8 12- 



8 1112- 



10- 



10-11-9- 



10-11—9- 



13.2. MAJOR THIRD 



163 



Hs4 



m®i [1,3,2,1] 



J . J hJfii 



Mr. t ufff 



iH§ 



jmJJJWJtf<^ 



-35 9-8- 



-8 12-11- 



-8 8-12 12- 



12 11 11- 



1110 9 9- 



-10—9 

-1 1-10 9 9- 



10 10- 



HsH — — — — he 



m [1,2,3,1] 



m^ti 



HrJf¥f 



Hfe 



jJltJjj'H'JF 1 ^^ 



9-10 

10-1 1 9 9- 



-8 1112- 



M 8—9 12 11 11- 

8 8-12 12 



10-11 9 9- 



10 10- 



h&f 



m^\ [1,2,3,2] 



* r y rr »fH r »fff , 



^H 



J # J\ \ J$r\ \ 




-910-9- 



^95 8 — 9—8 12 12-11 

8 12 



8 111211 



10- 



10-1110-9- 



10-11-10—9- 



\o\ 



H>N [1,3,2,3] 



164 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



o o o 



[1,3,2] 




-8 1112 



HsH — — \o] — — \o] 



[1,2,3] 






« j r r rjr* &£j^ 



10- 



^8- 



-8 9-12 



-8—11 12- 



-9 10 11- 



10- 



-8—11-9-12- 



11—9-12- 



heH — — \&\ 



m [1,3,2,1] 



ffl^ * 



fc 



£iig 



# 



i tt ' l H 5 



^S 9- 



-8 12-9- 



-8 11-8-12 12- 



10 11 11- 



11—8 9 12-9- 



10 

11 9 12-9- 



10 10- 



\0\ — — \Q\ 



m [1,2,3,1] 



.Hn^tr* 



•<br 



m& 



3f3**3 



10 — 

-11 9-12 9- 



^3- 



8 9-12 

9 10 11 11- 

-8—11 8-12 12 



8—11 9-12 9- 

10 10 



13.2. MAJOR THIRD 



16o 



he+ 



l ° l I l ° l [1,2,3,2] 




-8—11 1112 



| o | I | o | I | o | [1,3,2,3] 




o o o 



H [1,3,2] 



g 



^J 



^:^- 



^S 8- 



-8 1112- 



-12-10-11- 



11-9- 



10- 



10—8-9 12- 



10 9 12- 



o o o 



[1,2,3] 




-8—11 12 



166 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



o o o 



[1,3,2,1] 



3 



*. *te 



iH§ 



m 



**f 



^8 8 



-11-9- 



-8 11-8-12 12- 



1210 11 11- 



10—8 9 12-9- 



-10 9 12-9- 



10 10- 



H3H — — h^ — \Bi 



[1,2,3,1] 



3 



> f j t > r¥ 



m 



ifp 



^5- 



-9—11 

-8 10-12 11 11- 



-8—11 8-12 12- 



-8-10 9-12 9- 



10 9-12 9- 



10 10- 



\b\ — — \e\ — \o\ 



[1,2,3,2] 




-8—11 1112 



o o o 



[1,3,2,3] 



te#P 




m rn-Hf—^ ^ * * 



9 9- 

10 10—9 12 



-35 8 8 121012-11 

8 1 1 12 



11-9-11 



10- 



10—8-10-9 12- 



13.2. MAJOR THIRD 



167 



o o o 



[1,3,2] 



^ 



, ..n , to*&r 



P* 



-33 8 12—9—11 

8 1012 



11—8- 



10 9 11- 



10 9 11- 



10 12- 



\0] — \0] — — \B\ 



[1,2,3] 




p iagg i &j 



rriLr ^ tff 



-95 8 9-12-1 1- 



-8—11- 



-8-10 12- 



1012- 



10-9—11- 



10—9—11- 



\B\ — \Q\ — — \0\ 



[1,3,2,1] 



l . . ... i j. i i. F HI i r rrrrP>^r¥»r 

I jjjjJTO J ]> i ' JJ i [ll;n TP i i 



M 8- 



-8 10-8-12 12- 



1 1—8 

-12—9 11 11- 



10 9 11-9- 



-10 9 11-9- 



10 12-10- 



o o o 



[1,2,3,1] 



wm 



m 



, .t , rJrtr*r 



t p f^ffp 



^:*F 



^5- 



8—1 1 

-8 9-12 11 11- 



-8-10 8-12 12- 



10 9—11 9- 



10 9—11 9- 



1012 10- 



168 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



o o o 



[1,2,3,2] 



mm 




* r f_f tf 



te. 



-35 8 9-12-9—1 1- 



-8—11-8- 



-8-10 10-12- 



10 9—11 11- 



10 9—11 11 



1012 12- 



\B] — H3H — — H^+ 



[1,3,2,3] 



j ^W J i zjjM 



a^tefegrf . 



9 9- 

10 10—9 1 1 



-95 8 8 12—9-12-11 

8 10 12 



11—8-11- 



10 10-9 11- 



10 12- 



\Oi 



| o | Q | Q | [1,4,2,3] 



tt r r yJr i t r ^ r ff fe 




I 




}\ \ J P Jff'W 



^5 9 8- 



-8 12 12- 



-8 1210-11 

11-1211 



10 9- 



■10- 



11-9-10-9- 



11—9-10-9 13- 



\o\ 



| o | o | Q | [1,2,4,3] 




-8-12 12 



13.2. MAJOR THIRD 



169 



| o | I I | o | o | o | [1,3,2,4] 



' r rttjrrfff i 




aJiM^rr ii 




^m 




9 10 

-10—9—1 1-9 13 



-35 8 9 12-1 1 1 1 

8 12 12 



8 11-1012 



■10- 



10-9—11-9- 



\q\ — — — \o\o- 



i°i [1,2,3,4] 




-8-12 12 



| o | | o | I | o | o | [1,3,4,2] 



t&M 



»rrfr rT1 " r i 



m 



^m 



-9-10 

10-11 9 11 



^B 8 — 9 12 9—1 1 

8 10-12- 



8 1112-8- 



10-11 9 11- 



10 12- 



| o | | o | I | o | o | [1,4,3,2] 



tfiirrr'rY^^n 



j it ^jjff^ it 



^5 9-8- 



-8 1012- 



-8 12-1 1—8- 

12—9—1 1 



11-10 9 11- 



10—9 

11-10 9 11- 



10 12- 



170 



CHAPTER 13. TRIPLE CHROMATIC SCALE GROUP 



| o | | o | I | o | o | [1,4,2,3] 



JOT WndM ' y±& * 



% r > r^ r ^rftr^f i 




^5 9 8 

8 10 12- 



-8 12—8—11 

9-12-11 



11 10-9 1 1- 



10 9 

11 10—9 11 



10 12- 




| o | | o | I | o | o | [1,2,4,3] 



10—9- 



^S 9—8 9 12-1 1 

8-10 12- 



8 8-12-11 



1012- 



-11-10-9—11- 



11-10—9—11- 



| o | P i I | o | o | [1,3,2,4] 



'••-m 0- 



* r r T r ¥fT'T \\ 





-9 10 



^33 8 9 12-9 1 1 

8 10 12 



8 11-8-12- 



-10 11-9 11- 



10 1 1—9 1 1- 



10 12- 



| o | | o | I | o | o | [1,2,3,4] 




-9-10- 



.33- 



-8 — 9 9-12 1 1- 



-8 8—1112- 



1012- 



10-11-9-11- 



10-11—9-11- 



-8-10 12- 



Part II 
Total Chromatic 



171 




Introduction 



The chapters in this part of the book contain patterns that cover all twelve notes. 
These will inevitably have very different applications from those in the previous part, 
at least for the majority of players, which is why I have separated them from those 
in the previous part. Slonimsky created his pattern-book for a modernist, post-tonal 
context but many musicians today still play music with some element of tonality as 
a reference-point, at least. For them pitch content makes a significant difference. 

The chapters in this part are organised in terms of the interval that separates the 
notes in the base. Because we often use octave displacement in this book it makes 
sense to group inversions of intervals together, so that we look at the base formed by 
a succession of minor thirds in the same chapter as the one formed by a succession 
of major sixths. Although these do produce some different patterns, when you work 
with them in practice the results are likely to be similar, especially if you treat them 
improvisationally rather than as mechanical patterns to be repeated verbatim. 



173 



174 CHAPTER 14. INTRODUCTION 




Major Second 



15.1 Major Second 



o o 



[1,2,1] 



¥^ 



3 






^5 8- 



-10 12- 



-8 8 10 10 12 12- 



9 11 8 8- 

-9 9 11 11 



4f 



j jg J p ^ ^ g 



^3- 



10 

10 12 9 9- 

10 10 12 12 



9 1 1 

12 9 9 11 11- 



11 11- 



175 



176 



CHAPTER 15. MAJOR SECOND 



o o 



[1,2,1] 



fP 3 



m 



i P 5 j 



* 



^3- 



-8 10- 



-8 11 8 10 10 — 12 12- 



-9 12 9 11 11- 



-9 8 11 8- 



k j r tt r r r *r I r 



-8 10 9 12 9- 



10 9 12 9 11 11- 



^3- 



-10 10 12 12- 



11 11- 



\B\ 



t^m [1,3,2] 




p=% 



« 



m >- r i 




^^ 



-9 8- 



^ 9 8- 



-8 lO- 



ll 10- 



12- 



12- 



10 9 12 11 8- 

11 



f te *+ t te 



* r ^ r r ^ r *r?T i * r ,Xf * r f r »r 



.33- 



11 — 10 12 9- 

10 12 



11 10- 



11- 



13 — 12 9- 



10 9 12 11- 

11 



15.1. MAJOR SECOND 



177 



\o\ 



t^m [1,2,3] 



' IL a — 0- 




w^* 



4 



-8 9- 



^B 8 9 10 11 12- 

8 10 12 



-9 10 11 — 12 8- 

11 



H r rir r iJr i k f f *r 1 1 fe^ g 



10 11 12 9- 



-9 10 11- 



,33- 



-10 12- 



-11- 



12 — 13 9- 



-9 10 11 — 12- 

11 



o o o 



[1,3,2,1] 



«WJJ* J| 1 



« 



^^^ 



i* 



# 



-9 8- 



^3 9—8- 



11—10- 



-12- 



-8 8—10 10-12 12- 



10—9 12—11 8 8- 

9 — 1 1 11 



jg \ * r y r ggjg r i # P f f r* r f *Tr*r ^n 



11-10- 



12 9- 



11—10- 



.33- 



-10 10-12 12- 



10 — 9 12—11 

13-12 9 9 — 11 11- 

11 11 



178 



CHAPTER 15. MAJOR SECOND 



H3H — — — — Hb- 



m [1,2,3,1] 



3=1 ., ^ 



i ; S=^ 



J- * J- * ff * 



# 



^5 8 9- 



10—1 1 12- 



-8 8—10 10-12 12- 



9—10 1 1-12 8- 

-9 9 — 1 1 1 1 



-8—9- 



» r pr r^fr rf*^^ i » r rf ri t i^ -r*rTfr i 



t ^M^ttei 



-9 10—11- 



10—11 12 9- 



^3- 



-10 10-12 12- 



— 9—10 11-12 

12-13 9 9 — 11 11- 



11 11- 



H34 



\m\ [1,2,3,2] 



j j i j n j j J m 



« 



S 





# 



-8—9—8- 



^B 8 9 — 8 10—11-10 12 12- 

8 10 12 



9—10—9 11-12-11 — 8- 

-9 1 1 



tee^jteee 



M r , r » r l ' rr_r*r l| r i * r ff frrf f*T 



^ 



10—1 1-10 12 12—9- 

10 12 



-9 10—11-10- 



11- 



9—10—9 1 1-12-1 1- 

12-13-12 — 9 11 



15.1. MAJOR SECOND 



179 



o o o 



[1,3,2,3] 



j»j P I J * J p * J J i i i ' p J J J *^i^r ff&£fcr 



-9 8—9- 



8 8- 



-95 9 — 8 9 11-10—11 12 

8 10 12 



10—9—10 12—1 1-12 — 8- 

-9 11 



r" r J r jrr ' t rirJrr*r^*r | Vfrf< t rf*ff*r g ^ g 



-9 9 11-10—11- 



11-10—11 12 9- 



.53- 



10 12- 



11- 



10 — 9-10 12—11-12- 

13-12-13 — 9 11 



| o | I | o | I | o | [1,3,2] 



m 



J P p ^J g P J ^ \ J ' I t 



3 



.53- 



-11 8 10- 



-8 11 — 10 12- 



10 12 9 8 11- 

-9 12 11 



*r %r \ r i fi r r *r j r i * iv £ r »r f f *r £J£ 



th 



^ 



9 1 1 

11 8 10 9 12- 

10 12 



10 12 9- 



-11- 



13 — 10 9 12 1 1- 



180 



CHAPTER 15. MAJOR SECOND 



o o o 



[1,2,3] 




riJiH ^ v » j j ^ j ^ j ' p =± 



-33 9 8 1 1 

8 11 10 12- 



-10- 



10 9 12 8 11- 



-9 12 11- 



fa fe ! r j r jr r V *r i " r r f rt r f f fe ^ 



te e 



-9 11- 



-8 11 10 9 12- 



^5- 



-10 12- 



11- 



10 — 13 9 12 1 1- 



10 9 12- 



l ° l I l ° l I l ° l [1,3,2,1] 



j i i .hj 



j ft J itJ j^j*^ j J J^ J J mh =* 



i 



^5 9- 



-8- 
-11—8 10- 



-10- 



-8 11—8—10 10-12 12- 



12—9 8 1 1—8- 

-9 12—9 — 11 11 



jgfctetog . Jr\ r j r TfT*r~lf*t f^ fi 



ft 



-9 11- 



11 — 8 10 9 12—9- 



^5- 



-10 10—12 12- 



10 12 — 9- 



13-10 9 12—9 — 11- 

11 11- 



11- 



15.1. MAJOR SECOND 



181 



| o | I | o | I | o | [1,2,3,1] 



5^^P 



J it J tt 'Ji^ 



# 



^5- 



-9 8 — 1 1 10- 



-8- 



10- 



-8 — 11 8—10 10-12 12- 



9—12 8 — 1 1 8- 

-9—12 9 — 11 11 



g | P g jg | g e ¥ *T g I Up f f f | f f f *r*tffi 



-9 11- 



-8 — 1 1 10 9—12 9- 



^5^ 



-10 10-12 12- 



10 9—12- 



10-13 9—12 9 — 11 11- 

1 1 1 1 



| o | I | o | I | o | [1,2,3,2] 



P JhJl J * J J J*l J|tJ J P J = 




e 



u^^^ 



^5- 



9 8 — 1 1—8 10 10- 

-8 — 11 11-10 12 



10 9—12—9 8 — 11 11- 



-9—12 12—11- 



tgfe Ar^lu rJriLr i » r Xf r»rf f f*rl 



irtr 



^ 



9 11 

8 — 11—8 10 10—9—12 12- 

10 12 



10 9—12—9- 



11- 



10-13-10 — 9—12 12—11- 



182 



CHAPTER 15. MAJOR SECOND 



o o o 



[1,3,2,3] 



J ll ^J ^J»^J^ JH^ J \\\ J~ J '% 




-9 9- 



-95 9 9 11—8-11- 

8 11 10- 



-8 8- 

-10- 



10 10 12—9—12 — 8 11- 

-9 12 11- 



* 



12 ■ ■ 

i trj^ r *rjr_r i « r f rf'rff frff f i 



-9 9 11 11- 



-11 — 8—11 10 9 12- 



^5- 



-10 12- 



10 10 12 — 9—12- 



11- 



13-10-13 — 9 12 1 1- 



\Q\ — — \Q\ — \B\ 



[1,3,2] 



I 



i!S 



J^J^^^ ' t^' g 



-53 8- 



-8 11 10- 



10 8 12 — 10- 



12- 



-9 12 11- 



11 9 8 11- 



g— ft 



0-MjLtgJ?Lj£ 



*r rr'r.Tr'r 



10- 



^5- 



10 8 12 — 10 9 12- 

10 12 



-11- 



12 — 10 9 12 11- 



11 9- 



15.1. MAJOR SECOND 



18,3 



\o] — — he^ — \b\ 



[1,2,3] 



g P ^ 



? 



^^ 



^5- 



8 8 10 10 — 12- 

-8 11 10 12 



-9 12 11- 



-9 9 11 8 11- 



-0 — W= 0- 



r i tt r rr tt rr*f*^ ^ 



-9 9 11- 



-8 10 10 — 12 9 12- 



10- 



^ 



10 12- 



11- 



10 — 12 9 12 1 1- 



H3H — — \Q\ — h^ 



[1,3,2,1] 



i J tfJi^ J J 



? 



4 



4& 8 10—8- 



12-10- 



-8 1 1—8—10 10-12 12- 



9 11—9 8 11—8- 

-9 12—9 — 1 1 1 1 



tt r fr r ^frr* ^^ 



10- 



-^j- 10 — 8 12-10 9 12—9- 



^5- 



10 10—12 12- 



-9 1 1—9- 



12-10 9 12—9 11 11- 

1 1 1 1 



184 



CHAPTER 15. MAJOR SECOND 



\o\ — — \b\ — he+ 



[1,2,3,1] 



^^ 



5 



I 



^!S 



^ 



^ 



^5- 



-8 8—10 10-12- 



-8 — 1 1 8—10 10-12 12- 



9 9 — 1 1 8—1 1- 

-9—12 9 — 1 1 1 1 



t tr f r1 



,f¥ , jtrf»e 



rntf r ff r *rfT r' rf Fr i 



-9 9 — 11- 



-10- 



-%- 8—10 10-12 9—12 9- 



^5- 



-10 10—12 12- 



10-12 9—12 9 — 11- 

-1 1 1 1 



-11- 



o o o 



[1,2,3,2] 



3 



i|H ' J V ' 



1 




& 




-95 8 8—10—8 10-12-10- 

8 — 11 11—10 12 



-9—12 12—11- 



-9 — 11—9 8—11 11- 



t tr f H 




« rf*ff»rf^ f 



-9 9 — 11—9- 



10- 



^5- 



8—10—8 10-12-10—9—12 12- 

10 12 



-11- 



10-12-10 — 9—12 12—11- 



15.1. MAJOR SECOND 



185 



H3H — — IB] — \Oi 



[1,3,2,3] 



J J t Jtt" J' lt f ifE^l 



i ' « j ' j 



# 



-8 8- 



4& 8 8 10—8—10 12-10-12- 

8 11 10 12 



9 9 11—9—11 — 8 11- 

-9 12 11 



* 




'r^VF* * 



10 10- 



10 — 8—10 12-10-12—9 12- 



^ 



10 12- 



-9 9 11—9—11- 



11- 



12-10-12 — 9 12 1 1- 



\o] — \e\ — — \o\ 



[1,2,3] 




I N - M t 




g . \ T % 



,33- 



-8 10 9 12- 



-8 10 10 — 12 12- 



-9 11 11- 



-9 8 1 1 8 10- 



| . it r ie-f r *r *T r *f ^ i 



^5- 



-10 — 12 12- 



10 9 12 9 11- 



10- 



-11- 



-9 12 9 11 1 1 13- 



-11- 



186 



CHAPTER 15. MAJOR SECOND 



H3H — \G\ — — \Oi 



[1,3,2,1] 



^m 



m 



m 



& 



P=^4 



^ 8- 



10 12 9- 



-8 10—8—10 12-10-12 12- 



9 11 — 8 8 10—8- 

-9 11—9—11 11 



* r f i t r r r »f»p r ^ ig^ 



10- 



10 12—9 9 11—9- 



^3- 



-10 12-10-12 12- 



-9 11- 



12 9 9 11—9—11 13-11- 

11 11 



H3H — \o] — — h^l- 



[1,2,3,1] 



^ 



m 



^B. 



m 



% * J E fl»=ff 



-Q 8 10 9—12- 



-8—10 8—10-12 10-12 12- 



9 8 11 8 — 10 8- 

-9 11 9—11 11 



rr i Mrf r r*r*fr r ^ r i 



-9 11- 



10- 



10 9—12 9 — 1 1 9- 



.33- 



-10-12 10-12 12- 



9—12 9 — 1 1 9—1 1-13 11- 

1 1 1 1 



15.1. MAJOR SECOND 



187 



HSH — \Oi — — \Oi 



[1,3,2,3] 



* P ' ' I t 



» T ' ii J P - n - 



-8 8- 



^95 8 8 10 10 12 — 9—12- 



-8 10 10 12 12- 



9 9 11 — 8—11—8 10- 

-9 11 11 



fr*f"^r*f^ i 



10 10- 



10 10 12—9—12—9 11- 



^ 



10 12 12- 



11- 



9 9 11 11- 

12 — 9—12—9 11 11 13 



\Bi 



| o | o | Q | [1,3,4,2] 




-8—9- 



^B 8 9 10—11—9 12 — —11- 

8 12-10 12- 



9—10 — 8 11-12—10—8 12- 

-9 1 1 



rt r r r r» rr | »f^r«r^r^ i 



^5- 



10—11—9 12 11—9- 

-10 12 



-9 10—11—9- 



-9—10 1 1-12— 10- 



-11- 



12-13—11 — 9 13-11- 



188 



CHAPTER 15. MAJOR SECOND 



hen — — — hefe 



i°l [1,4,3,2] 



Jtt J h J J J* J fa J i t J -ltt"H* J MH tt J *£jE-£ - F 



? 



*a 



-9 8- 



^5 9—8- 



-8 12-10- 



8 

-11-10 — 9 12—11- 

12- 



10—9 8 12—11-10—8 12- 

-9 11 



w 



j t.y^ jp^f i ^ r f f *r«r f^r -f^i 



-9- 



11-10—9 12—11—9- 



11-10 — 9- 



^ 



-10 12- 



10 — 9 12—11-10- 



-11- 



13-12—11 — 9 13-11- 



\Oi 



| Q | Q | Q | [1,4,2,3] 



| p J hJ gg p bJ J g jg g I p * g g ^ f= p*F 



^ 



-9 8- 



-3£ 9 8 1 1 — 9—10- 



-8 12 10- 



12- 



11-12- 



10 — 8—9 12-10—11—8- 

-9 1 1 



12- 



# r r V , t r # r t i r r ^p t rjr i tt r f tt r f ^ f f T*fT 



s*te 




11—9—10 11-12—9- 



11 — 9—10- 



^ 



-10 12- 



10 9 12-10—1 1- 



11- 



13—11-12 — 9 13 11- 



15.1. MAJOR SECOND 



189 



hen — — — hefe 



N [1,2,4,3] 




-9 8- 



^5- 



9 — 8 9 — 1 1-10 1 1 12- 

-8—12 10 12 



8—10—9 10-12—11—8—12- 

-9 1 1 



. ri r VrMrjr r^r i " r ^ff^r ff fr 



ete.eete 



-9 — 11-10 11 12—9- 



-9 9 — 11-10- 



^ 



-10 12- 



-11- 



10 — 9 10-12—11- 

11-13-12 — 9—13 11 



H34 



| Q | Q | Q | [1,3,2,4] 




P J g ^ jg J * g g I |t 



-8 9- 



^5 8 9 10—9 — 11 12-11- 

8 12 10 12- 



9 8—10 11-10-12—8 12- 

-9 11 



0—m-&0 



r r jr r r r*r i * r l*r ? u B 1 r ^ # i 




^5- 



10—9 — 11 12-11 9- 

10 12 



-9 10—9 — 11- 



-9 10 11-10-12- 



11- 



12—11-13 — 9 13 11- 



190 



CHAPTER 15. MAJOR SECOND 



hen — — — hefe 



m [1,2,3,4] 




-8 — 9- 



^3- 



8 9 9—10—11 11-12- 

-8—12 10 12- 



8—9—10 10—11-12—8—12- 

-9 11 



ire^£fr i y£ff l t rf*ffrf* 



-9—10—11 11-12 9- 



-9 9—10—11- 



^3- 



-10 12- 



11- 



9—10 10—1 1-12- 

11-12-13 — 9—13 11 



| | I l ° l l ° l Q l [1,3,4,2] 



J J ff J tJ||J J » J ^ J J ^ J MH J » 



3 



I 




i:^=*= 




-8—9- 



-Q 8 9 10—1 1—8 12 10- 

8 11-10 12 



-9—10 11-12—9 8 11- 



-9 12—11- 



te*-*,tee* 



»r«,h, rk\r pr'T'T i *r-f£r L *rTff'T 



-9 10—11- 



^ 



10—1 1 — 8 12 10—9 12- 

-10 12 



-9-10 11-12—9- 



-11- 



12-13-10 — 9 12—1 1- 



15.1. MAJOR SECOND 



191 



hen — — \o] — he 



N [1,4,3,2] 



pgpppgg a P^g J l |M ^eJ_LT'S 



3 



-9 8- 



^5 9—8 

8 11-10- 



8 

11-10—8 12-10- 

12 



10—9 12—11—9 8 11- 

-9 12—1 1 



*r 'r * r yinJLr riti l r i ^ r f f r tt r f f f ^£ 



,f¥f^"ff 



-9 11-10- 



-1 1-10 — 8 12-10—9 12- 



^ 



10 12- 



10 — 9 12—11—9- 



11- 



13-12-10 — 9 12—11- 



| o | I | o | | o | o | [1,4,2,3] 



Jlt^J^JH ^ J J^ J Jl ' J l lt^ J J *t££&9&M 



-9 8- 



-3£ 9 8 11—8—10- 



-8 11 10 12- 



10-12- 



10 9 12—9 — 11 — 8 11- 



-9 12 11- 



tt r jt r v i , r jr r jr riC-CJT i tt r ^f-J* - *» * f r *P *r f f ^ 



-9 11 10- 



^5- 



1 1 — 8—10 10-12—9 12- 

10 12 



10 9 12—9 — 11- 



11- 



13-10-12 — 9 12 11- 



192 



CHAPTER 15. MAJOR SECOND 



hen — — \o] — he 



N [1,2,4,3] 




-9 8- 



^3- 



9 — 8 8 — 11-10 10 12- 

-8 — 11 10 12- 



10—9 9—12—11 — 8—11- 

-9—12 11 



Hi 



y ^[ y p-cir'T I *cXf f it r I f *f *r f f % 



^3- 



-10- 



-8 — 11-10 10 12—9—12- 

12 



11-10- 



-11- 



10 — 9 9—12—1 1- 

10-13-12 — 9—12 11 



| | I l ° l l ° l Q l [1,3,2,4] 




J g r f it f 1 



v> ' m _ m 




J J It J I N jj ' >H »' J - ^ *g ^ 



-8 9- 



-35 8 9 10—8 — 11 12-10- 

8 1 1 10 12 



-9 10 11—9—12 — 8 11- 



-9 12 11- 



»nr rj r JVrlL*r i *rTT f * fltff lVff g 



-9 10 11- 



^5- 



10 — 8 — 11 12-10 9 12- 

10 12 



-9 10 1 1—9—12- 



11- 



12-10-13 — 9 12 11- 



15.1. MAJOR SECOND 



193 



| o | I | o | | o | o | [1,2,3,4] 




-8—9- 



,33- 



8 9 8—10—11 10-12- 

-8 — 1 1 10 12 



9—10 9 — 11-12 — 8—11- 

-9—12 1 1 



i f ^j r rjr rj cx*r I t r Tl ? ir s Us 



£ uitetofel 



-9 10—11- 



-8—10—1 1 10-12 9—12- 



,33- 



-10 12- 



11- 



9—10 9 — 1 1-12- 

10-12-13 — 9—12 11 



o o o o 



[1,4,2,3] 



iRff J >J J l|J J ^ ft j ^ Ijt 



1 



& 



YWfr 



-9 8- 



-95 9 8 11 10- 



-8 10 10 12 12- 



-9—12- 



10 9 12 — 8 — 11—8 10- 

-9 11 11 



» r f \ f ^ frY r *r# r 'T i tt r f k f f ^ r * F f ^ 



11 10- 



.33- 



11 10 9—12—9 11- 

10 12 12 



11- 



10 9 12 11- 
lS — 9—12—9 11 11 13 



194 



CHAPTER 15. MAJOR SECOND 



| o | | o | I | o | o | [1,2,4,3] 




-9 8- 



^33 9 — 8 11-10 9 12- 

8—10 10-12 12- 



10—9 8—12—11—8—10- 

-9 — 11 11 



fr\r , r*rh r* r *TY \ * c k±f r*rt*r*?*t . 




-11-10 9 12—9 — 11- 



11-10- 



^5- 



-10-12 12- 



10 — 9 12—11- 



11- 



-9—13-12—9 — 11 11-13- 



| o | | o | I | o | o | [1,3,2,4] 



* 



* 



f==j j f hi* f 



-8 9- 



-95 8 9 10 11 12—9- 



-8 10 10 12 12- 



9 10 11 — 8—12—8 10- 

-9 1 1 11 



t A t . rAr.rAr , uM,?^nrt^\f , 



-9 10 11- 



^5- 



10 11 12—9 9 11- 

10 12 12 



-11- 



9 10 1 1 12- 

12 — 9—13—9 11 11 13 



15.2. MINOR SEVENTH 



195 



| o | l Q l I l ° l Q l [1,2,3,4] 




-8—9- 



-35 8 9 10—11 9—12- 

8—10 10-12 12- 



9—10 8 — 11-12—8—10- 

-9 — 11 11 



r $ r , r rkr r t*T \ t r k±f EJSfesJlJ^ 



-9 10—11- 



10—11 9—12 9—11- 



48- 



10-12 12- 



-9—10 11-12- 



-11- 



-9—12-13—9 — 11 11-13- 



15.2 Minor Seventh 



\B\ — — — — \Q\ 



[1,2,1] 



jf^frj 



pps 



-9 9- 



^5 8- 



-8 8- 



12 lO- 



ll 11-9 9 12 

12 12 



-8 8- 



O O 



[1,2,1] 



j^ 



S* 



m 



P 



-9-12-9- 



10- 



^5- 



-8—11-8- 



11 11-9-12-9 10 

12 12 



-8—11-8- 



196 



CHAPTER 15. MAJOR SECOND 



Hs4 



TO [1,3,2] 



=H 




it fF¥ . ^Fr J g fe^M 




10—9- 



-9 — 8- 



-35 9-8- 



1312 11-10 9 

1 1 9 12 



12- 



\0] — — — — \Of3] 



[1,2,3] 



jSpEsfc* 



A 



fee 




" i ^rl!Trl! 



-9-10 



-8-9- 



^5 8—9- 



1213 10-1 1 9- 



-1 1 9 12- 

12- 



\Bi 



m^\ [1,3,2,1] 



« fa rt rf¥r . ti f ff f ^r^ Jrt f 



§H^5 



-9 — 8- 



10—9 

-9 9- 



^ 9-8 

8 8- 



-8 8- 



1312 11-10 9 

11 11-9 9 12 

12 12 



\o\ 



m^i [1,2,3,1] 



,.- rt r¥fr . ti , ff , -Hr-.r^ 






-& 8—9- 



8-9 

-8 8- 



9-10 

-9 9 



-8 8- 



-12-13 10-11 9- 



11 11-9 9 12- 



12 12 



15.2. MINOR SEVENTH 



197 



O O O 



[1,2,3,2] 



j^ tt ^* 



m i ,f,ff f i' 1 rf 



Mr . fM 



-910-9- 



-8-9-8- 



^B 8 — 9—8- 

8 



121312 10-11-10 9 

1 1 9 12 12 

12 



=P^ 




10—9-10- 



-9 — 8-9- 



^5- 



-9—8 — 9- 



131213 11-10-11 9 9- 

1 1 9 12 



12- 



5^ 



1 



M I | o | I P i [1,3,2] 



-10- 



-9 12 



^5- 



-8 11- 



1310 11 9 

11 9 12 10 

12 



-8 11- 



3f 



P^ 



| o | I | o | I | o | [1,2,3] 



-9-12- 



10- 



^5- 



-8—11- 



-8—11- 



1013 11 9- 



11 9-12 10- 

12- 



198 



CHAPTER 15. MAJOR SECOND 



l ° l I l ° l I l ° l [1,3,2,1] 



* rffn* r fr r r*rrrr * r 11 



^% 



i 



10- 



-9 12-9 



^5 9- 



-8 11-8- 



13-10 11 9 

11 11-9 12-9 10 

12 12- 



-8 11-8- 



O O 



\®\ [1,2,3,1] 



wA 



i 



.r'ir. A Af 



Jfrlfi* 



10 — 

-9-12 9- 



^3- 



-8—11 8- 



10-13 11 9- 

11 11-9-12 9 10- 



12 12 



-8—11 8- 



| o | I | o | I | o | [1,2,3,2] 



^ 



IP 



k£MM 



krM 



10 — 

-9-12 12 



^5 9- 



-8—11 11- 



101310 11 9 

11 9-12 12 10 10- 

12 



-8—11 11- 



^^ 




o | I | o | I | o | [1,3,2,3] 

■ «rfff | * r fr f P »rrrA i i 



-9 9- 



10 10 

-9 12 



^ 



9 9- 

-8 11 



-8 11- 



131013 11 11 9 9- 

1 1 9 12 10 

12 



15.2. MINOR SEVENTH 



199 



^H — — ^ — \Oj 



[1,3,2] 



J£ 



ttr^ i ^rX 



g 



3*f 



-9 12 



-35 8- 



-8 11- 



12-10 10 

-1 1 9 12 12-10 

12 



-8 11- 



\o] — — he^ — \Oi 



[1,2,3] 



if 



m 



tz£!f \ trlfrr tt 



-9-12- 



^5- 



-8—11- 



1012 10 

-1 1 9-12 1012 

12 



-8—11- 



\0\ — — \B\ — \Oi 



[1,3,2,1] 



m 






i 



mm 



-9 12-9- 



-12-10 10- 



48- 



-8 11-8- 



1 1 1 1-9 12-9 1210 

12 12- 



-8 11-8- 



o o o 



[1,2,3,1] 



» 



Aft 



* 



i 



if 



S 



9 

-9-12 9- 



H 8 

8—11 8- 



-8—11 8- 



1012 10- 



1 1 1 1-9-12 9 1012 

12 12- 



200 



CHAPTER 15. MAJOR SECOND 



o o o 



*rr*rr i * 



[1,2,3,2] 




iff 



3 




9 

-9-12 12 



-35 8- 



-8—11 11- 



-11- 



-10-12-10 10- 



-9-12 12 101210- 

12 



-8—11 11- 



5*f 



I 



m 



\B] — — he^ — h^+ 



*&£* 



[1,3,2,3] 




-9 9 



-8 8- 



-9 12- 



^5 8 8- 

8 11 



-8 11- 



11- 



-121012 10 10- 



-9 12 12-1012 

12 



[O] — \B] — — m\ 



[1,3,2] 



PS 



t t f¥*tr , it > ft t f- ^>^V 



-9 11 



^ 8- 



-8 10- 



12—9 10 

11 9 11 12-9- 

12 



-8 10- 



o o o 



[1,2,3] 



> * r*r*f i » r j^r^ p^ 



-9—11- 



^5 8- 

8-10 



-8-10- 



9-12 10 

11 9-11 9-12 

12 



15.2. MINOR SEVENTH 



201 



o o o 



[1,3,2,1] 



fr¥»r> . foffr , .r , ..i i f 



m 



P3? 



-9 11-9- 



-35 8- 



-8 10-8- 



12—9 10 

-11 11-9 11-9 12-9 

12 12 



-8 10-8- 



H3H — \B\ — — H^+ 



[1,2,3,1] 



k^fr^ r k 



eif i tc * 



w 



-8- 



-9—11 9- 



^5- 



-8-10 8- 



-9-12 lO- 



ll 11-9-11 9 9-12 

12 12 



-8-10 8- 



\B\ — \Q\ — — \0\ 



[1,2,3,2] 



ptfr¥r . tt #tt pf f 




-8- 



-9—11 11- 



48- 



-8- 



-8-10 10- 



11- 



-912-9 10- 



-9-1 1 1 1 9-12-9- 

12 



-8-10 10- 



o o o 



[1,3,2,3] 



t ,-*r*f*Tf i fl r f*r TpT t r>i 



& 



-9 9- 



-8 8- 



-9 11- 



H 8 8- 

8 10 



-8 10- 



11- 



12—9-12 10 10- 



-9 11 12-9-12- 

12 



202 



CHAPTER 15. MAJOR SECOND 



\o\ 



| o | o | Q | [1,3,4,2] 



JJ|JJ»cMl 



tefte 



\ftrff ft Tf*r rWr (¥ 



-9-10- 



-8-9- 



-9 13 



-35 8—9- 



-8 12- 



12-13-11 10-11—9 9 

1 1 9 12 1 1 

12 



-8 12- 



heH — — — [&t& 



W [1,4,3,2] 



|PP P 



iVrf^f i Vff¥ r rHiY 



10—9- 



-9 — 8- 



-9 13 



^5 9-8- 



-8 12- 



1312-1 1 1 1-10—9 9 

-11 9 12-11 

12 



-8 12- 



\Oi 



| o | Q | Q | [1,4,2,3] 



J i H A* 



«" 



r it rff* f . ^ f f *r frr*r l f^r r 1 ' 



10 9- 



-9 8- 



-9 13- 



^ 9 8- 



-8 12- 



-8 12- 



13-1 112 1 1—9-10 9 

11 9 11-12 

12 



\o\ 



| o | o | Q | [1,2,4,3] 



jss^pf&m 1 



tt j r ff tf f , ^rffr^dr, r r^ 



^5 9-8- 

8-12 



-8-12- 



-9 — 8- 



-9-13- 



10—9- 



1 11312 9-1 1-10 9 

11 9 11 12 

12 



15.2. MINOR SEVENTH 



203 



| o | I I | o | o | o | [1,3,2,4] 



.tetet 



=P5f 



i^f'rTff i lt^fi^r^ 



-9 10 



-8 9- 



-9 13- 



H 8 9- 



-8 12- 



12-1113 10—9—11 9- 

11 9 1211 



12- 



-8 12- 



heH — — — hefe 



i°i [1,2,3,4] 



JTJp 



» rf*ff i * r *rrfe * cicfr^ r l | r » 



^5- 



-8 — 9- 



-8-12- 



-8-9- 



-9-13- 



-9-10 



111213 9-10-11 

11 9 11-12- 

12 



-8-12- 



=N#^f 



S£ 



| o | I | o | l ° | o | [1,3,4,2] 



m 




to 



-9-10- 



-8-9- 



-9 12 



M 8—9 

8 1 1- 



-8 11- 



-11- 



12-1310 10-11 9- 



-9 12 12 10 

12 



W*Hi 



| o | I | o | | o | o [1,4,3,2] 



i- I I .- 1 frf i 'tfgr r *&J rtt 



-10—9- 



-9 — 8- 



-9 12 



^S 9-8 

8 11- 



-8 11- 



131210 1 1-10 9 

1 1 9 12 1210- 

12 



204 



CHAPTER 15. MAJOR SECOND 



§Pp 



| o | I | o | | o | o | [1,4,2,3] 



■fatcfffrl -* 



$fr\ Jr\ r ^ 



10 9- 



-9 8- 



-9 12- 



-35 9 8- 



-8 11- 



13-10-12 11 10 9 

11 9 12 1012 

12 



-8 11- 



ipPPSl 



| o | I l ° l | o | o | [1,2,4,3] 
ffc 



iA£^4 




fei!r >M 



^5 9-8- 



-8—11- 



-9 — 8- 



-9-12- 



-10—9- 



101312 1 1-10 9 

11 9-12 10 12 

12 



-8—11- 



3^P# 



mm 



\ o \ I | o | | o | o [1,3,2,4] 

,te#t 




■«rf ff . it 




*r , rv * 



-8 9- 



9 10 

-9 12 



^ 8 9- 

8 11 



-8 11- 



12-1013 10 11- 



1 1 9 12 12-10- 

12 



| o | I | o | | o | o | [1,2,3,4] 



^^ 



H 



ltrf¥f . »r 




tA r r * 



^ 8—9- 

8—11 



-8—11- 



-8-9- 



-9-12- 



-910 



101213 10-11 

1 1 9-12 1012- 

12 



15.2. MINOR SEVENTH 



205 



I s * 



| o | | o | I | o | o | [1,3,4,2] 

.teft 



*rTr*r i * r rf * r r f*T r rV* 



-9-10- 



-8-9- 



-9 11 



-35 8—9- 



-8 10- 



-11- 



-12-13—9 10-11- 



-9 11 12 9- 

12 



-8 10- 



H3H — \B\ — — he 



i°i [1,4,3,2] 



=SR 



1 



ttr^rf^r i YfPrryfrrr 11 



-10—9- 



-9 — 8- 



-9 11 



^5 9-8- 



-8 10- 



1312—9 11-10 9 

11 9 1 1 12-9- 

12 



-8 10- 



§PS 



| o | | o | I | o | o | [1,4,2,3] 

*rf*r* F i » r f*rfr'TrTfrr l 1 



-9 8- 



10 9- 

-9 11 



M 9 8- 

8 10 



-8 10- 



13—9-12 11 10 9 

11 9 11 9-12 

12 



| o | | o | I | o | o | [1,2,4,3] 



jW'etf 



tti j r ^f tf f , Mrffr r ^r,rr^ 



H 9-8- 

8-10 



-8-10- 



-9 — 8- 



-9—11- 



10—9- 



9-1312 11-10 9 

11 9-11 9 12- 

12 



206 



CHAPTER 15. MAJOR SECOND 



| o | | o | I | o | o | [1,3,2,4] 



h r i t r *ft*rf ■ » r r*rfrr r *r> | 'M 



m 



-8 9- 



9 10 

-9 11 



-8 10- 



^S 8 9- 



-11- 



-12—9-13 10 11- 



-9 11 12-9- 

-12 



-8 10- 



PfcCfeJ 



| o | | o | I | o | o | [1,2,3,4] 

* r*r*F f i * r* rf f r r f*r^r*r * 



^y 



-8-10- 



-8 — 9- 



-8-10- 



-8-9- 



-9—11- 



-9-10- 



9-1213 10-1 1 

11 9-11 9-12- 

12 




Minor Third 



16.1 Minor Third 



\0] — \B] — \Oi 



[1,3,2] 



i=3pgpigg 



,. * . r , *MM 



^m 



^5- 



-8 11-9- 



-9 8-12-10-11- 



-11—9-10 12- 



-8-12-10-11- 



10-8 — 9 1 1-12- 



10 12- 



HsH — \e\ — \o\ 



[1,2,3] 



^pg 



MrJrt A 



,33- 



-8 9—11 



-8-1012-11- 



-8-10—9—11 12- 



1012- 



-9 — 8-1012-11- 



-9—11-1012- 



207 



208 



CHAPTER 16. MINOR THIRD 



o o o 



[1,3,2,1] 



^^fe 



H^psa^ 



^5- 



-8 11-9- 



-8-1210-8—11 11- 



10-8 9 1 1-9-12 12 



-9 8-1210-8—11 11- 



1 1—9 10 1210 



10 1210- 



JltJJ'JltJIW'Jil'g g 



o | | o | | o | I I [1,2,3,1] 



^3- 



-8-10-12-8—11 11- 



8 9—1 1 

-810 9—11 9-12 12 



-9 8-1012-8—11 11- 



-9—11 1012 10 



1012 10- 



*> 



*Tf* 



o | | o | | o | I I [1,2,3,2] 



\\5Wt{S!LS 



i 



^5- 



-8 9—11-9 



-9 8-101210-1 1- 



-9—11-9-10-12 12 



-8-101210-11- 



-8-10-8 — 9—1 1 1 1-12- 



1012 12- 



o o o 



[1,3,2,3] 




-8-121012-11 



16.1. MINOR THIRD 



209 



Hs4 



| o | o | Q | [1,3,4,2] 



3*$*H 



P^ 



Wkm \ r r'rj-* APr d^¥f f*Pf | 



-£> 9-10—8 12 11 

48 8 — 9 1 112-10-9 12 



-8 12-11- 



10- 



10-1 1-9 — 8 12-1 1- 



-910 12-13-1 1-10- 



10-11—9 



\o\ 



| o | o | Q | [1,4,3,2] 



J P P J p J » J ^ J ft 



? 



3 



g=l 



48 9 8 12 11 10 9- 



-10 9 8- 



-12 11- 



-12- 



12 11- 



*M 



m ' •' 



MMN 




tt r ^Jt jg jg 



48- 



-10- 



10 9 

11 10 9 8 12 11- 



lS 12 11 lO- 



ll 10 9- 



210 



CHAPTER 16. MINOR THIRD 



hen — — — \o\o- 



i°l [1,4,2,3] 




^3- 



-9 8 12 10 11 9- 



10 8 9- 



-8 12 1 1- 



12- 



11 12- 



fe te t 




^ 



-io- 



ii 9 10 8 12 1 1- 



10 9 13 11 12 lO- 



ll 9 10- 



\Oi 



| Q | Q | Q | [1,2,4,3] 




^5- 



-8 12- 



-9 8 10 12 11 9- 



-8 10 9 1 1 12- 



-11- 



-12- 



te te fe 




^3- 



-10- 



-9 11 10 8 12- 



10 9 11 13 12 10- 

11 



-9 11 10- 



16.1. MINOR THIRD 



211 



Pfl 




Pgjgggg 



o | I I | o | o | o | [1,3,2,4] 



ft:W 




-££ 9 — 8-10 12-11- 

48 8 9 1 1-10 12-9 12 



-8 — 12 11- 



10- 



10-9—11—8 12 11- 



-9 10 12-1113-10- 



10—9—11 



\b] — — — hefe 



i°i [1,2,3,4] 



J J ^^t 



^Jii^i icjte tf r l - 



*rrr*r ff¥*Ff^i 



-910-11 



-S> 8-910 1112- 

48 8 — 9 10-1112-9 12 



-8-12 11- 



10- 



-910-11—8-12 11- 



-910 11-12-13-10- 



| o | | o | | o | | o | [1,3,4,2] 



^ J it J W f r» 



c r»[f*dT l r lt r'rPr^ ^ 



jj it j j ^ j^^ ^ 



9—11 — 

10 1 113—9-10 12 



-8- 



48 9 1012-8 — 9- 

812 10-11 



-810 11 9 

1112 



-9—1 1 812 10-1 1- 

10 12 



| o | | o | | o | | o | [1,4,3,2] 




-8 1210-11 



212 



CHAPTER 16. MINOR THIRD 



| o | | o | | o | | o | [1,4,2,3] 



3 



3 



*A£fe&tetel£l 



t r . r i r n r rkT¥ fr~ f ? \ 



J t NJ Jft JI ^ 



aJMf* 



11 9- 



-8- 



^33 9- 



-10 8 9—1 1 



-8 1012-11- 



-12-8-10—9 11 12- 



-1 1 9 — 8 1012-1 1- 

10 12 



10 13—9—1110 12- 



| o | | o | | o | | o | [1,2,4,3] 




^3- 



-8 10 12 11- 



-8 12 10 9 11- 



10 8 9 11- 

12 



fe te 




-10- 



^3- 



-10 12- 



1 1 9 8 10 12 1 1- 



-9 13 1 1 10 12- 



11 9- 



M M | o | | o | [1,3,2,4] 




jj . ^p^p iffiffi 



-9 Hi 



8 10 11-9- 



-35 9 10-812—9 11 12 



-81210 11- 



-9 11—812-10 11- 

10—12 



10 1 1—913-10 12- 



16.2. MAJOR SIXTH 



213 



\o\ 



| Q | | o | | Q | [1,2,3,4] 



P P 1 



^5- 



-8 10 12 11- 



-9 8 10 12 9 11- 



-8 10 9 11- 

12 



*r Or 'r r_T *r t *T f *f f f 




te te 




-9 11- 



^5- 



10 12- 



-9 11 8 10 12 11- 



10 9 11 13 10 12- 



16.2 Major Sixth 



o o o 



[1,3,2] 



\\ r ,t*g r^ 



11—9- 



^ 



-8-1210- 



12- 



11-9- 



11 8-12-10- 



\o] — teH — he+ 



[1,2,3] 



¥^$M 



-9—11- 



^ 



-8-1012- 



12- 



-9—11- 



11 8-10-12 



214 



CHAPTER 16. MINOR THIRD 



\0\ — \B\ — \0{ 



[1,3,2,1] 



j BTTHffl |V 



-11—9- 



^3- 



11-9- 



11 11—8-12-10-8- 



-8-1210-8- 



12 12- 



o o o 



[1,2,3,1] 



1 1 m ¥ i " l rVr l 



-9—11- 



^3- 



-8-10-12-8- 



-9—11 

12 12- 



11 11—8-10-12-8- 



o o o 



[1,2,3,2] 



i*r .-*r*rT rvT* 1 



-9—11-9- 



^5- 



-8-10-12-10- 



12- 



-9—11-9- 



11 8-10-1210- 



heH — [o] — he4 



[1,3,2,3] 



*r*r*rr*r l| r 1 ^ 



11—9-11- 



^3- 



-8-121012- 



12- 



11-9-11- 



11 8-12-1012 



16.2. MAJOR SIXTH 



215 



\Oi 



| o | Q | Q | [1,3,4,2] 




-12-13-11 9-10 

-8 1 1 8 12 



-93 8 — 9 12 

8 12 



12 11- 



o o o 



W [1,4,3,2] 



=H 



JrWEs 



* r ff *U r W 



1312-1 1 10—9 

-8 11 8 12- 



-93 9—8 12- 

8 12 



12-11- 



\o\ 



| Q | Q | Q | [1,4,2,3] 



^^ 



Mr'r^ frjp j 



13-1 112 10 9- 



-8 11 8 12- 



^5 9 8-12- 

8 12 



11-12- 



\Oi 



| o | o | Q | [1,2,4,3] 



jflW 



Wrk V tt& kft l 



1 1-13-12 10—9- 

-8 11 8-12 



.93- 



-8-12- 



-9—8-12- 



11 12- 



216 



CHAPTER 16. MINOR THIRD 



\Oi 



| o | Q | Q | [1,3,2,4] 



wm 



J r lt f J&Y 



-95 8 9-12 

8 12 



12-11- 



12-1113 9 10 

-8—11 8 12 



o o o 



i°i [1,2,3,4] 



SfwdsJz 



U r klf.rtrY i 



-93 8 — 9-12 



1112- 



111213 9-10- 

-8—1 1 8-12 



-8-12- 



\o\ 



| Q | | o | | o | [1,3,4,2] 



a r Jr*rf*rijr!g 



s»s 



1113—9 10- 



-8 11 8-12 10- 



^5 9 12 



11 9- 



-8-12 10- 



| o | | o | | o | | o | [1,4,3,2] 



* r f*r*r r\^ 



P 



13-11—9 10- 



-8 11 8 12-10 



^S 9 12- 

8 1210 



11-9- 



16.2. MAJOR SIXTH 



217 



| o | | o | | o | | o | [1,4,2,3] 



W3 



-13—9—11 10- 



-8 11 8 10-12 



-35 9 12- 

8 1012 



-9—11- 



\b\ — hen — he+ 



m [1,2,4,3] 




-9-13-11 10- 



-8 11 8-10 12 



^5- 



-9 12- 



-9 11- 



-8-10 12- 



| o | M | o | | o | [1,3,2,4] 



ajf^rfrjrt^ 



11—9-13 10 



^5- 



-8-12-10- 



-9-12- 



11-9- 



-8—11 8-12-10- 



H 




| o | | o | | o | | o | [1,2,3,4] 



J r kkf M ^ 



-9—1113 10- 



^ 



-8-1012- 



-9-12- 



-9—11- 



-8—1 1 8-10-12- 



218 CHAPTER 16. MINOR THIRD 




Major Third 



17.1 Major Third 



\o] — — hen — he- 



m [1,3,4,2] 



tef 



Yttrrr*rr tt rTffe 



jJ^JJ'^sg 



-9-10 

10-11 9 12- 



^5 8—9- 



-8 11-12- 



8 11-12-9- 

12 10-1 1 



10- 



10-11—8-9 12- 



| o | I | o | | o | o | [1,4,3,2] 



KHrpitpp*- 




219 



220 



CHAPTER 17. MAJOR THIRD 



| o | I | o | | o | o | [1,4,2,3] 




heH — — \o] — he 



i°i [1,2,4,3] 




-8—11 12 



| o | I | o | | o | o | [1,3,2,4] 



f j rr rr !r^^rf | 




J w J&J 



=Nf# 




9 10 

10 11—9 12 



-Q 8 9 1210 11 

8 1 1 12 



8 11-9-12- 



-10- 



10—8—11-9 12- 



| o | I | o | | o | o | [1,2,3,4] 




-8—11 12 



17.2. MINOR SIXTH 



221 



17.2 Minor Sixth 



jspj 




| o | I | o | | o | o | [1,3,4,2] 



k 



eS£ 



-10-11- 



48 8—9 11 

8 1 1 



1112-9- 



-9 12 



o o 



H>N [1,4,3,2] 




-11-10- 



4Q 9—8 1 1 



12-11-9- 



-9 12 



-8 11- 



=PP 



t =m 



o | I l ° l l ° l Q l [1,4,2,3] 




11 10- 



-33 9 8—1 1 

8 11 



12-9—11- 



-9 12- 



iP« 




| o | I | o | | o | o | [1,2,4,3] 



4Q 9—8—1 1 

8—11 



-9-12-11- 



-9-12- 



11-10- 



222 



CHAPTER 17. MAJOR THIRD 



*"f 



f 



o \ I | o | | o | o [1,3,2,4] 




10 11- 



^93 8 9—11 

8 1 1 



11-9-12- 



-9 12- 



heH — — ^4 



H>N [1,2,3,4] 



5f^# 



1 




* 



-93 8 — 9—11 



-9—11-12- 



-9-12- 



10-11- 



-8—11- 




Fourth 



18.1 Fourth 



h€H — — — — — heH 



[1,2,1] 



m* 



^ 



-9 8 8- 



-8 8- 



* 



4 



» r i r b 



10 

-10 9 9- 



-9 8 8- 



-8 8- 



12 

11 11- 



te- 



r f r ,- »r ,- ! 



m h i* j£ *_ 



13 

13 12 12 11- 



11 11- 



11 

10 10 9- 



^ 



12 12- 



12 12- 



223 



224 



CHAPTER 18. FOURTH 



O O 



[1.2,1] 



A 



^Jr 



rUJ^rfctrmTrWrrrUJ ] 



JJ}J it JJfT 



-95 8 8 8 

8 8- 



8 8 8 



-9 9 9- 



-8 8- 



11 — 

11 11 



-12- 



12 — 12 — 12—10 — 

11 — 1 1 9 9 



-10 

10 — 10 13- 

-12 — 12 — 12-1 



-12 — 12- 



O O 



[1,2,1] 



3 



*± 



i 



^5- 



-8 12 8- 



-8 12 8- 



-8 12 8- 



-8 12 8- 



-9 13 9- 



10 

11 11- 



te 



Y Y r r ' r r tt r r i r f r^rr 



-ii- 



^ 11 12 12- 



11 11 



-9 9- 



10 10- 



12 

11 12 12- 



^5- 



-12 12- 



18.1. FOURTH 



225 



O O 



[1,2,1] 



«r r *r f r b 



l j #j j g g g 



^ 



^ 



-8 11 8- 



-8 11 8- 



-8 11 8- 



-8 11 8- 



-9 12 9- 



11 11- 



Y f r f F f 



^£ ^ 



i 



-10- 



-«F 10 12 12 

-jft — 11 11 9 12 9- 



,33- 



10 13 10- 



11 

10 12 12- 



12 12- 



\o] — \e\ 



[1,2,1] 



i 



m 



^H^ 



^^ 



.33- 



-8 10 8- 



-8 10 8- 



-8 10 8- 



-8 10 8- 



-9 11 9- 



-11 11- 



h 



t r k r f T f 



±±£ 



^ 



f- 9 12 12- 



11 11 



-9 11 9- 



.33- 



10 12 10- 



10 

-9 12 12- 



12 12- 



226 



CHAPTER 18. FOURTH 



HSH 



RN [1,2,3] 



J ' P '] 



fej 



te £ 



fttJf 



^5 8 9 8- 



-8 9 8- 



-8 9- 



-9 10 9- 



-9 10- 



-11- 



-11 12- 



' r fffffrriT i C 



#. 



fejgf 



te 



^ 12 13 — 12- 



12 — 13- 



11 



10 11- 



^5- 



-10- 



-10 11- 



-9 13- 



12- 



12 12- 



\Oi 



\m\ [1,3,2,1] 



rk * rf*f r*^Hr 



rrrrrr 



S^ 



-9 8- 



-& 9 — 8 8- 

8 8 



-9 8 8 8- 



-10 — 9 

-10 — 9 9 9- 



-8 8- 



12—11 

11 11 



fe=^£rj 



We 



te"i 



r frr,- ft r h 



\\0 *T- ^ 



13-12- 



-f- 13-12 12 12 1 1—10- 

jfr 11 11 9 9- 



^s- 



1 l—io 

10 10 9- 



12 12- 

12 12 



13- 



12- 



18.1. FOURTH 



227 



\o{ 



vm [1,2,3,1] 



A 



tef 



Sl£l 



^ 



J^^ 



-8 — 9- 



^5 8 9 8 8 



8 — 9 8 8- 



-8 8- 



-9—10 9- 



-9—10- 



-8 8- 



11—12 

11 11 



ft 



» r f f rffff r r*r r i ffTrr r^ 



pte 



-«F 12-13 12- 



12-13- 



12 10—11 

9 9- 



^5- 



10—11 

10 10- 



-13 

-12 12 12- 



12 12- 



\Oi 



\m\ [1,3,2,3] 



J tt J t | J tt J l l 




ftef 



iti-rjrrrfTfi k h 



^B 9 8 9 8- 



-9 8—9—8- 



-9 8—9- 



10 — 9—10—9- 



10 — 9—10- 



-11- 



12—11-12- 



* 



?*L\ *r i r 1 1 1 ,- tejujr ^ * f I ^ 



-^ 13-12-13-12- 



-13-12-13- 



-11—10—11- 



,33- 



-10- 



-11—10—11- 



-9 9- 



12- 



-9 9 13- 

12 12- 



228 



CHAPTER 18. FOURTH 



\0] — — — \B] — \0] 



[1,3,2] 



A 



j » j J g ' y&sUJ 



-35 9 8 12 



9 8 12- 



-8 12- 



10 

-10 9 13- 



-8 12- 



-11- 



12 10- 



f tr f I ¥ . r i t , . , r ¥ ¥ . fr » , l# f 



fey^ 




-^ 13 1 1 — 12- 



13 11- 



11 9- 



^5- 



-10- 



-11 9- 



-12- 



11 12- 



-12- 



\Oj 



f^t^i [1,2,3] 



fry i l i^ nj ^m 



r 'r f f H r " 



^5- 



-8 12- 



-9 8 12- 



-9 8 12- 



-8 12- 



-10 9 13- 



10- 



-11- 



10 12- 



\htJEJ 


M 




E-HL 


• 


»- 


,*JM 


F - » r »r y r f ■ 


b 


Ll ] 












-10 










Jl n 




*B 









18.1. FOURTH 



229 



HsH — — — \Oi 



\®i [1,3,2,1] 



• 1trffr " 



W 



Jte JJ' i J ' 



^95 9 8 12—8 



9 8 12—8- 



-8 12—8- 



-10 

-10 9 13—9- 



-8 12—8- 



12-10 

11 11- 



f«r , f f¥f .r « r r | f*ff f i t r s r > ff p 



$£= ^Er£ 



-13—11- 



-«F 13—11 12 12 11 9 

^ — 11 11 9 9- 



^5- 



1 1 9 

10 10 9- 



11 12- 

12 12 



12- 



-12- 



Hs4 



| Q | P I [1,2,3,1] 



fr^^r, , 



J JjHj U J ^ * 



^5- 



-8—12 8- 



-9 8—12 8- 



-9 8—12 8- 



-8—12 8- 



10 

-10 9—13 9- 



10—12 

11 11- 



fr *p f | » I 



fee 



*r r r i r*T*Pr ■ --*r*r- r J > 



-11-13- 



-f- 1 1—13 12 12 9—1 1 

-jfr — 11 11 9 9- 



,33- 



9 — 11 9 

10 10 9 12 

-1 1 12 12- 



12 12- 



230 



CHAPTER 18. FOURTH 



HsH — — — \Oi 



\®i [1,2,3,2] 



J i P i 1 





*t£ 



9 8—12 12- 



-95 9 8—12 12 

8—12 12- 



10 

-10 9—13 13- 



-8—12 12- 



-11- 



10—12-10- 



* 



*rfrr*Pff r*cjj , i r*f*Ff l -»r»rfirf fr ■ 



-*F 11-13-11-12- 



-11-13-11- 



-9—11—9- 



^s- 



10- 



-9 11—9- 



12- 



9 12 12- 

11 11-12 



Hs4 



| | P I [1,3,2,3] 



J It J J J J 




flpFf F Jh ^ ^ 



-9 9- 



-93 9 9 8 12 

8 12- 



9 9 8 12- 



10 10- 



10 10 9 13- 



-8 12- 



11- 



12-10-12- 



* 



f*rfff <t ff^r i r lt f*ff c j^Lr wfff i 



-f- 13—11-13-12- 



13—11-13- 



11 — 9—11- 



^S- 



10- 



11 — 9—11- 



9 9- 

-9 9 12 



-12- 



11 12- 



18.1. FOURTH 



231 



\o] — — he^ — — \o] 



[1,3,2] 




| o | I | o | I | o | [1,2,3] 



i P P * 



ft , Irf »r f F j ^ jf 



^5- 



-8 11- 



-9 8 11- 



-9 8 11- 



-8 11- 



-10 9 12- 



-10- 



-11- 



-9 12- 



*^P4 



^T^- 



» [ » y *r I 



-«F 10 13 — 12- 



10 13- 



-9 12- 



-11- 



,33- 



10 13- 



-11- 



-9 11- 



12- 



10 12- 



232 



CHAPTER 18. FOURTH 



HsH — — \o\ 



\®i [1,3,2,1] 



Prr'rrrrfr" 



i^^ p 



-35 9 8 1 1—8 



9 8 11—8- 



-8 11—8- 



-10 

-10 9 12—9- 



-8 11—8- 



12—9 

11 11- 



, o« r fr r ffpf r «r rr i rf f r » r r r y*fVf ■ 



13-10- 



-f- 13-10 12 12 11- 

Jft 11 11 9 12—9- 



^S- 



11 

10 13-10 9- 



10 12- 

12 12 



-11- 



12- 



| o | I | o | I | o | [1,2,3,1] 



^Tr^nrt 



jt jj^j^ jftg 



*p 



^5- 



-8 — 11 8- 



-9 8 — 11 8- 



-9 8 — 1 1 8- 



-8 — 11 8- 



10 

-10 9—12 9- 



9—12 

11 11- 



SrTTrt 



M- 



r?*tr f t t r Y *Mf^. 



-*f 10-13 12- 



10-13- 



12 11 

9—12 9- 



^S- 



11 9 

10—13 10 9 1 1 

10 12 12- 



12 12- 



18.1. FOURTH 



233 



HsH — — \o\ 



\®i [1,2,3,2] 



5f 



pEp 



tti-vr r ^rfri i . T 4 




^ 



-8 — 11 11- 



-9 8 — 11 11- 



-9 8 — 11 11- 



-8 — 11 11- 



10 

-10 9—12 12- 



-11- 



-9—12—9- 



* 




f ff r r»mrf¥f ,- r k r \¥ H 



i 



-f- 10—13-10-12- 



10—13-10- 



11 

-9—12 12- 



-£- 



-li- 



-9- 



10—13 13 9 11 11- 

10 10—12 



12- 



| o | I l ° l I l ° l [1,3,2,3] 



J tt J flJ J 1 




ttr rj r f tf r f f T M 



-9 9- 



M 9 9 — 8- 



-8 11 



-9 9 8 1 1- 

11 



10 10- 



10 10 — 9 12- 



-8 11- 



11- 



12—9—12- 



* *te*e 



» r f f f f f f f rJlCJ i r f f f i- ir r r v m i i 



h 



-f- 13-10-13-12- 



-13-10-13- 



11 11- 

-9 12 



,33- 



1 1 1 1 

10 13 9 9- 



-12- 



10 12- 



-9 9- 

11 



234 



CHAPTER 18. FOURTH 



o o o 



[1,3,2] 



*M 





i 



^^ 



1 



^ 8- 



-8 8 11- 



-8 11- 



-8 11- 



-9 9 12- 



-8 11- 



11- 



11 9- 



»rXf £ 



£ 



£4 



m 



-*F 12 10 12- 



-12 10- 



10 

-9 12- 



^ 



10 

10 13- 



12- 



12 10 12- 



13 11- 



o o o 



[1,3,2,1] 



* 



p ft — f- 



^m 



i 



i 



:p*=ii* 



^S 8- 



-8 11—8- 



8 8 11—8- 

-8 1 1—8 



-9 9 12—9- 



-8 11—8- 



11—9 

11 11- 



»r J r r | 



ffFf r rr r r £fe^ 



-12-10- 



-f- 12-10 12 12 10 

jfr 11 11 9 12—9- 



^s- 



-10- 



10 13-10- 



12—10 12- 

12 12 



13 — 11- 



12- 



18.1. FOURTH 



235 



o 



[1,2,3,1] 



te* 



f-ff— 



^ 



^ 



3 



3* 



48- 



-8 — 11 8- 



-8 8 — 11 8- 



-8 8 — 11 8- 



-8 — 11 8- 



-9 9—12 9- 



9—11 

11 11- 



»f r | r I 



fefcMg 



>tff> 



1 



-«F 10-12 12- 



-10—12- 



12 10 

9—12 9- 



^ 



10 

10—13 10- 



10—12 12- 

12 12 



-11—13- 



-12- 



o o o 



[1,2,3,2] 



3* 



31 g ri l 



fe 



, r a r * r r r f«ff 




43- 



-8 — 11 11- 



-8 8 — 11 11- 



-8 8 — 11 11- 



-8 — 11 11- 



-9 9—12 12- 



11- 



-9-11—9- 



* 




££ 



ttrf t 



I 



-^ 10-12-10-12- 



-10-12—10- 



10 

-9—12 12- 



43- 



10 

10—13 13- 



10—12-10—12- 



11—13-11- 



12- 



236 



CHAPTER 18. FOURTH 



\o] — \o] — — — \o] 



[1,3,2] 



feU 



. - fa ,, \ 



J P J P 



9 8 10- 



-35 9 8 10 



-8 10- 



10 

-10 9 11- 



-8 10- 



-11- 



12 8- 



f ftp f f ¥ . *r , , r ¥ f _ I V . ^ ¥ r 



#^ M^-£ 



r T f r "r r " 



-il- 



ls 9 12- 



13 9- 



11 

-9 11- 



^s- 



11 

-10 12 9- 



12- 



-9 12- 



-10- 



o o 



m [1,2,3] 



J J P fr 



f ^ »|» 



^ 



-8 — 10- 



-9 8 10- 



-9 8 10- 



-8 10- 



-10 9 11- 



-10- 



-11- 



-8 12- 



* 



fe f f | j r r *^r^ £ 



ie ». h , ^ te 



i 



<F 9 13 — 12- 

^ -i -i 



-9 13- 



11 



-9 — 11- 



-11- 



10 12- 



-11- 



-9 10- 



^ 



-12- 



-9 12- 



18.1. FOURTH 



237 



H3H — ^+ 



\®i [1,3,2,1] 



■«rf«rr,J 



Jl l J JJ 'i J 



-35 9 8 10—8 



9 8 10—8- 



-8 10—8- 



—10 

-10 9 1 1—9- 



-8 10—8- 



12—8 

11 11- 



£fe 



i r ftr r fW 



ftt-» 



rTrr r *rr r "H^fh" 



13 9- 



-f- 13 9 12 12 1 1 

^ — 11 11 9 11—9- 



^5- 



n 

10 12-10 9- 



12 12- 



10 

-9 12 12- 



o o 



m [1,2,3,1] 



r r *r *r f r iv r h 



ra 



^5- 



-8—10 8- 



-9 8—10 8- 



-9 8—10 8- 



-8—10 8- 



10 

-10 9 11 9- 



8—12 

11 11- 



, i r | f r f ¥ 1 1 r r ¥ r j § § g - r »r - Y jfe 



-«F 9—13 12- 



-9—13- 



12 11 

9—11 9- 



,33- 



11 9 

10-12 10 9 10 

-9 12 12- 



12 12- 



238 



CHAPTER 18. FOURTH 



H3H — ^+ 



\®i [1,2,3,2] 



P^ 



£/ » EJr 



-35 9 8—10 10 



9 8—10 10- 



-8—10 10- 



10 

-10 9 11 11- 



-8—10 10- 



-11- 



-8—12—8- 



i QMrf f r¥ff r r Y ri r f fch r'rrYr'fh 



-«T= 9—13—9—12- 



-9—13—9- 



11 

-9—11 11- 



s- 



-11- 



-9- 



10-12 12 9 10 10- 

-9 9 — 12 



-12- 



o o 



m [1,3,2,3] 



J ft ' J g j 




itr rj_r * r f *r P ^ 



-9 9- 



-95 9 9 — 8 10 



9 9 8 10- 



-8 10- 



10 10- 

-10 10 — 9 11 



-8 10- 



-11- 



12—8—12- 



* 



p r fr?*?t Ar jj . r *p 1 1 -jr r r y I r f I 



-f- 13 9—13-12- 



13 — 9—13- 



11 11- 



-9 11- 



^5- 



-li li- 



-9 9- 



10 12 9 9 10- 

-9 12- 



12- 



18.1. FOURTH 



239 



o o o 



[1,3,2] 



fe r r J J£ 



'fTTf 



5 



i:5t 



48- 



-8 8 10- 



-8 8 10- 



-8 10- 



-9 9 11- 



-8 10- 



-11- 



11 8- 



tr f»rt 



t te 



gJ^ 



g^ 12 9 12- 



12 9- 



11 



10 

-9 11- 



^5- 



10 

10 12- 



12- 



12 9 12- 



13 — 10- 



o o o 



[1,3,2,1] 



JHr f 



^ 



wm 



^S 8- 



-8 10—8- 



8 8 10—8- 

-8 10—8 



-9 9 1 1—9- 



-8 10—8- 



11—8 

11 11- 



?#. 



' r frrffTfrrrr i rfrr 



£ 



-*f= 12 9 12- 

-i- 11 » — 



-12 9- 



12 10- 



-9 11—9- 



,33- 



-10- 



10 12—10- 



13-10- 



12—9 12 12- 

12 12 



240 



CHAPTER 18. FOURTH 



o o o 



[1,2,3,1] 



A 



Mf 



^ 



£ 



m 



^^ 



JB 



^3- 



-8—10 8- 



-8 8—10 8- 



-8 8—10 8- 



-8—10 8- 



-9 9 11 9- 



8 11 

11 11- 



fee 



fg k r r m 



Tr \ rf ? r 



i 



-*F 9—12 12- 



-9—12- 



12 10 

9—11 9- 



^ 



10 

10—12 10- 



10—13- 



9—12 12 12- 

12 12 



o o o 



[1,2,3,2] 



m 



A 



ttr¥r 



m^w^ 




^8- 



-8—10 10- 



-8 8—10 10- 



-8 8—10 10- 



-8—10 10- 



-9 9 — 1 1 1 1- 



11- 



-8 11—8- 



. Qa -i trf rf^^ r r f r . rf Pf |- r r r rr 



-li- 



-9—12—9—12- 



-9—12—9- 



10 

-9—11 11- 



^ 



10 

10—12 12- 



-9—12—9—12- 



10—13-10- 



12- 



18.1. FOURTH 



241 



h€H — heH — he+ 



[1,3,2] 



«. r f tr f*T .. 




^5- 



-8 12 — 10- 



-8 12 — 10- 



-8 12 — 10- 



-8 12 — 10- 



-9 13 11- 



11- 



10 8- 



* 



frjlr r *P *f r r_r i r *f r 



3= 11 9 12- 



11 9- 



11 



-9 11- 



^5- 



10 12- 



12- 



11 9 12- 



12 10- 



hSH — hSH — he+ 



[1,2,3] 



' *| » »|> 



^5- 



-8 10 12- 



-8 10 12- 



-8 10 12- 



-8 10 12- 



-9 11 13- 



11- 



-8 10- 



te tt rjr CJ£ 



fete 



£=£ 



te 



^ 9 11 — 12- 



-9 11- 



11 



-9 — 11 



10 — 12- 



^s- 



-12- 



-9 11 — 12- 



10 — 12- 



242 



CHAPTER 18. FOURTH 



HsH — hen — he+ 



[1,3,2,1] 



3 



fe£j 



££ 



P 



■ _ ~i r 



^3- 



-8—12-10—8- 



-8—12-10—8- 



-8—12-10—8- 



-8—12-10—8- 



-9—13—11—9- 



10—8 

11 11- 



i O« r »r * r r fT*fr r r r nr*f f r ,-Yrr rf ffi 



-*f= 1 1 9 12- 



11 9- 



12 9- 



-9 11—9- 



^5- 



10 12-10- 



-11—9 12- 

12 12 



12-10- 



12- 



hen — hen — he+ 



[1,2,3,1] 



5 



*^£ 



i 



P 



^3- 



-8—10-12—8- 



-8—10-12—8- 



-8—10-12—8- 



-8—10-12—8- 



-9 11—13—9- 



8—10 

11 11- 



» r I *T f tx 



fet 



rf¥r rr' f r f ffTi 



-*f= 9 — 11 12- 

-Jt- 11 n — 



-9 — 11- 



12 9 

9—11 9- 



^5- 



10-12 10- 



9 — 11 12- 

-12 12 



10-12- 



12- 



18.1. FOURTH 



243 



H3H — \o\ — \Oi 



[1,2,3,2] 



s 




t4f+= 



^5- 



-8—10-12-10- 



-8—10-12-10- 



-8—10-12-10- 



-8—10-12-10- 



-9 11—13-11- 



-11- 



-8—10—8- 



| Qa r ^«P|.f | f*ff r r r r ! f f* f f r » p r rr 



-*f= 9 11—9—12- 



-9 11—9- 



-9—11 11- 



^5- 



10-12 12- 



-9 11—9—12- 



10-12-10- 



12- 



heH — hen — he+ 



[1,3,2,3] 



^jfeja 



# — - — 0- 



^5- 



-8—12-10-12- 



-8—12-10-12- 



-8—12-10-12- 



-8—12-10-12- 



-9—13—11—13- 



-11- 



10—8—10- 



* 



*r«rrf¥¥f ,rr r . r¥f f ,* r rr rfrf , 



-*f= 1 1 9—1 1-12- 



11 — 9—11- 



-9 9- 



-9 11- 



^5- 



9 9- 

10 12 



12- 



11—9—11-12- 



12-10-12- 



244 



CHAPTER 18. FOURTH 



\o\ 



| o | o | Q | [1,3,4,2] 



J J It J A 



g g g 5 * 




^ i y c j^ l 'ri t r¥f l f| | j^j 



-8—9- 



^5 8 9 8 



-8—9 8 12- 




9—10 

9—10 9 13 

-8 12 11-12-10- 

11 



ipitp it p . f f¥¥ r it r « r y^ff . 



-^ 12-13—1 1-12- 



-12-13—11- 



10—11 — 9- 



^5- 



10- 



-10—11 — 9- 



12- 



9 13 12- 

12 1 1-12 



\B\ 



| o | Q | Q | [1,4,3,2] 




ftete 



ttr hr I ttrC * CJ!r * r f TTi i jr* r i 



§w 



; g=jgj ; 




-9 8- 



-^ 9 8 8 12- 

S£ 9 — 8 8 12 



-8 12- 



10 — 9 

10 — 9 9 13- 



-8 12- 



-11- 



12—11-10- 



**M* 



ee#. 



rfr i rff^Q^rrff f | 



-*f= 13-12—1 1-12- 



13-12—11- 



11-10 — 9- 



^s- 



io- 



11-10 — 9- 



12- 



12—11-12- 



13-12- 



18.1. FOURTH 



245 



\o\ 



| o | o | Q | [1,3,2,4] 



m 



^jutetef 



i^ii^r i »rJ^r*rTffi i |»|^r ^ 



-8 9- 



^5 8 9 — 8 12 



8 9 8 12- 



-8 12- 



-9 10- 



-9 10 — 9 13- 



-8 12- 



11- 



11-10-12- 



» , f*rfff*Ff ,¥jkJfc 



etete 



* r » r ytf*f i 



-^ 12—11-13-12- 



12—11-13- 



10 — 9 — 11- 



^5- 



10- 



-10 — 9 — 11- 



-12- 



12—11 12- 



-9 13-12- 



\Oi 



| o | Q | Q | [1,2,3,4] 



m 



tef 



j t rr r f Tfi i j rjC^i 



^B 8 9 8—12- 



-8—9—8—12- 



-8—9- 



-8—12- 



-8—12- 



-9—10—9—13- 



-9—10- 



11- 



10—11-12- 



tel 



£«t 




< t r f»r l f*ff¥ fap i tpi i Ff^ . 



-f- 1 1-12-13-12- 



11-12-13- 



-9—10—11- 



,33- 



10- 



-9-10—11- 



12- 



11-12 12- 



-9 12-13- 



246 



CHAPTER iS. FOURTH 



\ o \ I | | | o | o | [1,3,4,2] 




i 




#¥^# 



* r r "r f *T *r i 



^F 12-13-10-12- 



-12-13-10- 



10—11- 



12- 



^5- 



10—11 9 

10 13 9 13 11- 

12 10—12 



-12- 



| o | I | o | | o | o | [1,4,3,2] 



rfr« r r f*ff , \ 



W¥$ J'F g 



-9 8- 



-& 9 — 8 8- 



-9 8 8 1 1- 



-8 11- 



11- 



10 — 9 

10 — 9 9 12- 



-8 11- 



11- 



12-11—9- 



* 



f | f f | f f Ar ¥ f 1 1 1 f Jtf W r g I f fr . 



-*f= 13-12-10-12- 



13-12-10- 



11—10 

-9 12- 



^S- 



11-10- 



10 13 9- 



12- 



12-10-12- 



13—11- 



18.1. FOURTH 



247 



| o | I M l ° l ° l [1,3,2,4] 



^*? 



m 



& 



0-^' l 




-A 



itr H±J r 1 1 fn ^tzJi 



-8 9- 



^5 8 9 — 8 1 1 



8 9—8 1 1- 



-8 11- 



-9 10- 



-9 10—9 12- 



-8 11- 



-11- 



-11—9—12- 



4 




ir- 



tt; 



r^ rT f *r*T i 



-f 12-10-13-12- 



12-10—13- 



10 11- 

-9 12 



^5- 



10 11- 

10 13 



-12- 



12-10 12- 



-9 13—11- 



| o | I l ° l | o | o | [1,2,3,4] 



J. ^ J ^ I Wlffi 



fee 



, ^ r jr frfTfi F^ 



^s- 



-8 — 11- 



-8 9 — 8 — 11- 



-8—9—8 — 11- 



-8—9- 



-8 — 11- 



-9—10—9—12- 



-9—10- 



-11- 



-9-11-12- 



* 







-^ 10-12-13-12- 



-10-12-13- 



-9—12- 



10—11- 



,33- 



10-13- 



10—11- 



12- 



10-12 12- 



-9 11-13- 



248 



CHAPTER 18. FOURTH 



M M I l ° l ° l [1,3,4,2] 




* 



tt r r f f¥ r f Y r , rf Tr r r ' rrH ^n 



-f 12-13 9—12- 



12-13 9- 



10—11 

-9 11- 



^5- 



10—11 9 

10 12 9 13 10- 

12 9—12 



-12- 



| o | | o | I | o | o | [1,4,3,2] 



H 



r rt r r rf f^ r -j^Hr 



j jt j^j j j -it' ^ 



-9 8- 



-& 9 — 8 8- 



-9 8 8 10- 



-8 10- 



10- 



10 — 9 

10 — 9 9 11- 



-8 10- 



-11- 



12—11—8- 



* 



t t f f^¥ ^ r r| r »f*ff, i t r y rr « g^ 



-f- 13-12 — 9—12- 



13-12 — 9- 



11—10 

-9 11- 



^s- 



1 i-io 

10 12 9- 



12- 



12—9—12- 



13-10- 



18.1. FOURTH 



249 



l ° l P i I l ° | | [1,3,2,4] 



m 



i 



- i ttr*nj_r r*f*rfn. v, J 



-8 9- 



^5 8 9 — 8 10 



8 9—8 10- 



-8 10- 



-9 10- 



-9 10—9 1 1- 



-8 10- 



-11- 



-11—8—12- 



' r f ' rf f f*ff r f r *T i rf fT ,- r.r ' r ' r f f 



te 



-*T 12 — 9—13-12- 



12 9—13- 



10 11- 

-9 11 



^5- 



— 10 11- 

10 12 



12- 



12—9 12- 



-9 13-10- 



| o | | o | I | o | o | [1,2,3,4] 




^B 8 9 8—10- 



-8 — 9— 8— ID- 



'S— 9- 



-8— ID- 



'S— 10- 



-9—10—9 — 11- 



-9—10- 



11- 



-8 — 11-12- 



£#te? t 



tt r jr f f f f f f r rf *T i tX 



iWlfTf 



te 



-f- 9—12-13-12- 



-9—12-13- 



-9—11- 



10—11- 



,33- 



10-12- 



10—11- 



12- 



-9—12 12- 



-9 10-13- 



250 



CHAPTER 18. FOURTH 



heH — \e\ — \Oi 



\®i [1,3,4,2] 




-8—12 10 



i [ QY it rr*r r ^^frrr ri r ¥ ^ f r t r Yr trr ^ r i 



-f- 11—13 — 9—12- 



-11—13 — 9- 



9—11 

-9 11- 



^s- 



9 — 11 9 

10 12 9 12 10- 



12- 



11 9—12- 



| o | | o | | o | | o | [1,4,3,2] 



» rff*iV 



pp j ji 



^ 9- 



-9 8 12-10- 



-8 12-10- 



-8 12-10- 



-10 

10 9 13—1 1- 



-8 12-10- 



11- 



12-10—8- 



| o « r f » r « r f m f i r r ^ ¥¥r Y' p r h r f f r i 



-f- 13—11 — 9—12- 



13—11 — 9- 



11—9 

-9 11- 



^s- 



11 — 9 

10 12 9- 



12- 



11—9—12- 



12-10- 



18.1. FOURTH 



251 



heH — \e\ — \Oi 



\®i [1,4,2,3] 




-8 10-12 



i Q* r f i tf»rf^¥¥pr r f l r¥f¥ r *r r it r Vfrf | 



-*F 13 — 9 — 1 1-12- 



13 — 9 — 11- 



11 9- 

-9 11 



^5- 



11 9 

10 12 9- 



-12- 



-9 — 11—12- 



10-12- 



| o | | o | | o | | o | [1,2,4,3] 




-8—10 12 



*r f¥fE. , r^ . rf¥¥- . i tnui i P 



tt r fc^ lrtf. 



' i ff f f r r_W 




-f- 9—13—1 1-12- 



-9—13—11- 



-9-11- 



11—9- 



,33- 



10-12- 



11 — 9- 



12- 



9 10 12- 

-9 11—12 



252 



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heH — \e\ — \Oi 



\®i [1,3,2,4] 




m 



r i trfrfi i r ,- j 



^3- 



-8—12-10- 



-9 8—12-10- 



-9 8—12-10- 



-8—12-10- 



10 — 9—13—11- 



10- 



-11- 



10—8—12- 



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18.2. FIFTH 



253 



18.2 Fifth 



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t<H [1,2,1] 



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dt~ xl n 12 



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9 9 



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254 



CHAPTER 18. FOURTH 



HsH — — — [Oi 



[1,2,1] 



ft 



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tt. 



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-10 10- 



9 1 1 

10 10 9 12 12- 

9 9 



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r_r *r f r r ^r 



^3^ — ii 



1 1 1 1 10- 



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10 — 

11 11 10- 



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HsH — — hen- 



[1,2,1] 



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JtfJi J | 1 ' J 5 



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10 10- 



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fe i r ig | ^4 



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18.2. FIFTH 



255 



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f f r r « r r f T HH 



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12 12- 



10 12 10- 



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12 12- 



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11 — 13 — 11- 



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[1,3,2] 



i I H V ' 



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teii 



tejr g 



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ll 10 — 12- 



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10- 



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ll 10 — 12- 



13 — 12- 



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10 9- 



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-9 lO- 



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10- 



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[1,3,2,1] 



« 



fete 



r tt r y r i r f r r r tt r^r r r ffr i 



J I H1H J* 



12- 



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tt. 



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j'^i* " d 



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48 8 9 10 10 



12- 



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10—1 1 12-13 

10 10—1 1 12 12- 

9 9 



i fl*rrf ft. r r j ff f f i v ^fi Jr ^ r r r fn 



-^ 12-13 

jfr 11 11 11-12- 



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^5- 



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11-12- 



9—10 1 1 1 1 11-12 

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[1,2,3,2] 



=^W 



tt ^iw r 



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etete 



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10—11—10-12- 



12 12- 



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tefp 



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258 



CHAPTER 18. FOURTH 



Hs4 



H>N [1,3,2,3] 



JF^ ft 



tt JiW fr 



rt ^ . r^f f W 



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10- 



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11-10—11-12- 



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J 



ftef ,».,»,^f 



jlt i f * j F I tdifiir fe 




^ 13-12-13- 



10 — 9— lO- 



ll 



^5- 



-li- 



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10 — 9—10—11- 



12—11-12- 



10- 



12-11-12- 



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| Q | | o | [1,3,2] 



3* 



U i r ■ g | | . «fj t f £ 



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ll 9 12- 



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10- 



11 9- 



11 9 12- 



13 — 11- 



I t r JU r k r JE=t 



16 




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18.2. FIFTH 



259 



HSH 



| Q | P I [1,2,3] 



^^ 



, r * r ir ■ r I tt f r tt riT t 



.93- 



-8 — 12- 



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11 13- 



% r JrJ r k. \ r ^ 



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^— 11—13- 



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P^5 



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12- 



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fe. 



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260 



CHAPTER 18. FOURTH 



\o{ 



m~W [1,2,3,1] 



r a r it rr | f*f*ff r it r »r r t 



i^ J J' 



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t*r*rf r lt .v r Jff f f i t, rr, JrF ^ r ^ 



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^5- 



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\V^i [1,2,3,2] 



^n 



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a r tt r r . f*f^ f r ft rgrrr 



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18.2. FIFTH 



261 



hel 



m~W [1,3,2,3] 



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.-jcjcjr^^^ r*r * r r I 



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-95 9 9— lO- 



ll— 9— 11-12- 



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10- 



11 — 9—11- 



11 — 9—11-12- 



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» r f*rfn rv r* 



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10 10- 

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10 10—11- 

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12-10-12- 



10- 



12—10-12- 



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^*"4 



3 



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* L r i f f f r*t^ 



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H 9 lO- 



ll 8 12- 



10- 



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11 

10 13 11 12- 



13 10- 



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* 



fel r i u tir *r I * f v f i 



-il- 



ls — 10- 



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12 9- 



10 

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262 



CHAPTER 18. FOURTH 



\ o \ I | o | I | o | [1,2,3] 



*w* 




*r^£ 



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10- 



10 13- 



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i 



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te t 



I- j£_ r *t t Hd! 



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10 11- 



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l ° l I l ° l I l ° l [1,3,2,1] 



s 



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£\ 



r'r r r i rTfrr*rrrrfrr i 



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18.2. FIFTH 



263 



l ° l I l ° l I l ° l [1.2,3,1] 



t. 



l - r 'r l - i rfTrrr < r -rf j Fff 1 



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9—12 9 



i J?*r ff rn. Pf Jff f h'r'r fr' rll ^ ri| r*rf r i 



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5f 



TmcjJF-r i P-f 



#. 



u- 



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10 10- 



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10—13 13 1 1 12- 



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itl^iirrrr^fff i tti-^ r rff^ r * 



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10 

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264 



CHAPTER 18. FOURTH 



| o | I | o | I l ° l [1,3,2,3] 



5**? 



riCJLT i f T f f r J^ ^£ 






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-95 9 9— lO- 



ll — 8—11-12- 



-10- 



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11 11 

10 13 11 11-12- 

9 12 



13—10-13- 



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r i , r gg f *f f>fi t » 



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Jft 11 12—9—12- 



10 10- 

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^5- 



-li- 



10 10—11- 

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12 — 9—12- 



10- 



12 — 9—12- 



\B] — — [O] — \B\ 



[1,3,2] 



^ 



£ 



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^^ 



^5- 



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10 8 12- 



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10 13 10 12- 

9 12 



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*th 



i fj . if "f ff f ^ 



I 



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18.2. FIFTH 



265 



^H — — \o] — \o\ 



[1,2,3] 



*T 




3 



£j= 



£e£ 



^5- 



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10 13- 



10- 



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* 



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^5- 



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\Oi — — \0] — \Oi 



[1,3,2,1] 



m 



rfffrrrrff ^ 



w*m 



12-10- 



^5 8- 



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10 8 12 12- 

10 10 



12-10- 



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10 13-10 10 12 12- 

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* 



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,¥r . „ i0 * . itfejfel 



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-*f= 12-10 

-jfr — 11 11 11—9- 



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11 11- 



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11 — 9- 



11 11—9 

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266 



CHAPTER 18. FOURTH 



o o o 



[1,2,3,1] 



m 



rffrrrfrr 



i^ J i J||J 



10—12- 



^3- 



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8—10 12 12- 

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10- 



10-12- 



10—13 10 10 12 12- 

9—12 9 



\ HrTTr*. ?r Jf f *f f l a.Mr -*r¥ ^ r T Tf 



-f- 10-12 

Jft 11 11 9—11- 



9 

-9—12 9- 



^S- 



11 11- 



-9 — 11- 



9 11 11 9—11 

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[1,2,3,2] 



5 



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3* 



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10—13 13 10 12- 



10-12-10- 



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*J«J 



> Ar^tth . 01-0 



» rrTr i it r j! r ! S rf*r' p " Fb r rri != i 




-*r- 10-12-10 

jfr 11 9-11—9- 



9 

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^5- 



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18.2. FIFTH 



267 



o o o 



[1,3,2,3] 




rfffrfii/r 



-95 8 8—10- 

8 1 1 



-10 8—10—12- 



12-10-12- 



10 10 

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12-10-12- 



* 




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r *„ * ttf- T i£ P li„ f- r ■£ 



l t r fff ■ jtrJ^ r r'rT^Fb p f; 




-*»= 12-10-12 

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9 9- 

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-£- 



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11—9-11- 



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m [1,3,2] 



}yj J 



t t r . . g | f . te i. f 1 1 : 



11 12- 



11 

10 12 11 12- 

9 11 



13 9- 



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* 



fe ■ <n 



fe f ltl> is r ^% 



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lS 9- 



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12 8- 



10 

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12 — 

10 1 1 13 12- 



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10 12- 



268 



CHAPTER 18. FOURTH 



O O 



m [1,2,3] 




#. 



fc . r f t r jg fe f t 



te £ 



^3- 



-8 — 10- 



-9 10 — 12- 



11 — 12- 



-10 — 12- 



11- 



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11 — 12- 



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»rj£-f s ttr \ tt ^T j i * r r T ^- 



^— 9—13- 



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^5- 



-li- 



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-8 10- 



-10 11 — 13- 



-12- 



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-12- 



\B\ — \B\ 



m [1,3,2,1] 



I 



th 



it fr r | r f r r r ^r ^ r r r f T 



w 



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1 1 12 12- 



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13 9- 



10 12-10 1 1 12 12- 



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trfttrnu¥n,.y y| 



leMz 



jfr 11 11 12 — 8- 



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10 1 1 13-1 1 12- 



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18.2. FIFTH 



269 



O O 



m [1,2,3,1] 



r r ll rr l f f^f r tt r »f r f»ff 






^5- 



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-9 10-12 lO- 



ll 12 12- 



11- 



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10-12 10 11 12 12- 



-9 11 9- 



tei 



y r ttr*rf r i i*r r f i- *r f fr 



-*f- 9—13 

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^5- 



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W\ — ^+ 



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J J It J m 



1 



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7=] f it r r i rfTf rV^r r f f 



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10-12 12 1 1 12- 



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ig k f r ju i. \ . »r *r ''zht r -LLf ^ 



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270 



CHAPTER 18. FOURTH 



O O 



m [1,3,2,3] 



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,-j t f ^^ r , r f r f ri^r rf f tt f f 



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11 11-12- 



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if jfe f lt . i ra. r * r r*r f m f r f^rf f 



-*J= 13 — 9—13 

Jft 11 12 — 8—12- 



10 10- 

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^5- 



-li- 



12 12 

10 10—11 13 12 12- 



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10 12- 



\b] — \e\ — — \b\ 



[1,3,2] 



? 



m 



r f r r r k fc 



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10 12- 



12 9- 



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f jg i r 



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18.2. FIFTH 



271 



o o o 



[1,2,3] 



r r f r * r r r T : 



te f 



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10 12- 



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10- 



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* 




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11- 



10 12- 



-11- 



\o\ — \b\ — — \oi 



[1,3,2,1] 



m 



th 



rffrrPrrffT - 



P71 J ' JJ P 



12—9- 



^5 8- 



-8 10—8- 



10 12 12- 

10 12—10 



10- 



12 9- 



10 12—10 10 12 12- 

9 11—9 



* 



A 



P-* 



f¥l*rf | V ^ r r *r¥fr r p 



-*f= 12 — 9 

-jfr — 11 11 11 — 8- 



-9 11—9- 



^5- 



-li li- 



—li — 

-9 11 13-11 11- 



-8 10—8- 



10 12-10- 



272 



CHAPTER iS. FOURTH 



\o] — to] — — ^1 



[1,2,3,1] 



3 



te£ 



rrf rr'rrrfT 



jj^j jj j e 



-9—12- 



^5- 



-8—10 8- 



-8 10—12 10- 



10 12 12- 



-10- 



-9—12- 



10—12 10 10 12 12- 

9 1 1 9 



, n r tt r f r , a .r f"r¥f | Vr ttf r <trf¥r r Y r 



-f 9—12 

Jft 11 11 8—11- 



-9 — 11 9- 



^s- 



-11 11- 



-8—10 8- 



11- 

-9 11-13 11 11- 



10—12 10- 



\o\ — \b\ — — \oi 



[1,2,3,2] 



3 



rfffr' r r r fr 



tee^ 



s 



^3- 



10 12- 



-9—12—9- 



-8—10 10- 



-8 10—12 12- 



10 

10—12 12 10 12- 



-9—12—9- 



-9 11 11- 



*M 



r <t r <t fr i tt fji!r r <t r f ^ f r Vr 



& 




^ 9—12—9- 



11 



.33- 



-li- 



-8—11—8- 



-9 — 11 11- 



-8—10 10- 



11- 

-9 11-13 13 11- 



10-12 12- 



18.2. FIFTH 



273 



o o 



[1,3,2,3] 



rfr^ r r» r rf^ f g 



-95 8 8—10 12 



10 10—12- 



12—9—12- 



-8 10- 



10 10 

10 12 10 10-12- 



12 9—12- 



-9 11 



* 



A 



tecft 



rT*r f i ttrJ!r r r )t rfff r n 



-*¥- 12 — 9—12 

-^ — 11 11 — 8—11- 



9 9- 

9 11 



,33- 



11- 



11 11 

-9 9 — 1 1 13 1 1 1 1- 



-8 10- 



10 12- 



o o o 



[1,3,2] 



\9 | | | — - r «r r i 


ir*r f r'l 


r *r fci 


■- ♦ 


sp J J J J J r i i i 






-10 12 








A ii si 




<i> J ^ 




1 8 12 — 10 * 





»r I 'r ttr > 



£ 



i 



-li- 



11 9- 



^ 



11- 



10 8- 



-9 13 — 11- 



-8 12 — 10- 



10 — 

11 13 10- 



10 12- 



274 



CHAPTER 18. FOURTH 



\B] — \0] — \B\ 



[1,2,3] 




irjr t-t 



-9 11- 



^5- 



-8 10 12- 



10 12- 



-9 12- 



-9 11- 



10 12- 



-9 11- 



-9 12- 



u M r s te j 



^fc£ 



^^ — 9 — n 



-li 



S- 



-li- 



-8 10- 



-9 — 11 — 13- 



-8 10 — 12- 



11 13- 



10- 



10 — 12- 



-10- 



o o o 



[1,3,2,1] 



te 



* r r.- i fTf r r *r*r rfrff i 



JJJj^^E 



-11—9- 



^3- 



-8—12-10—8- 



9 12 12- 

10 12-10 



9 11—9 

10 12-10 9 12 12- 



-9 11—9- 



trkknA 



£ 



i 



*r f f r r *r 



3 



-f- 11 — 9 

jfr 11 11 10 — 8- 



-9—13-11—9- 



^s- 



-11 11- 



10- 



-8—12-10—8- 



11 13-11 10- 



10 12-10- 



18.2. FIFTH 



275 



\b] — \o] — he+ 



[1,2,3,1] 



ft 



' r r i rfTrr' r ^r -rff 



i J J i J J IJ E 



-9- 



-9 — 11- 



-9 — 11- 



^ 



-8—10-12—8- 



10-12 10- 



-9 12 12- 



10-12 10 9 12 12- 

9 1 1 9 



»r *r *r r s », te rrf r i 'r r r r*r f f r r r*T r i 



-«f 9 — n 

^ — 11 1 1 8—10- 



-9—11-13—9- 



^5- 



-li li- 



-8—10-12—8- 



10 

-1 1-13 1 1 10 

10-12 10- 



o o o 



[1,2,3,2] 



« r r | ff¥f r « r » r r f f¥f ■ 



9 

10-12 12 9 12- 



-9 11—9- 



^5- 



-9 12- 



-9 11—9- 



-9 11 11- 



-8—10-12-10- 



10-12 12- 



»r | j r itr v "r r£ f 



^ 



i 



-^ 9 — 11—9 

-^ — 11 8—10—8- 



-9—11-13-11- 



,33- 



-li- 



10- 



-8—10-12-10- 



-1 1-13 13 10 

10-12 12- 



276 



CHAPTER 18. FOURTH 



o o o 



[1,3,2,3] 



h 



te*a 



^ r r i TTTf r tt r^ r r r f f 



^3- 



-9 9—12- 



11—9—11- 



-8—12-10-12- 



10 12- 



9 9 

10 12 9 9—12- 



11—9—11- 



-9 11- 



*r*r»rri t .iirfa Efc£g 



• *r | F i r ^r r ^ 



-f" 11 — 9-11 

jfr 11 10 — 8—10- 



-9—13-11-13- 



^5- 



-li- 



-8—12-10-12- 



10 10 

1 1 13 10 10- 

10 12 



Hs4 



| o | o | Q | [1,3,4,2] 



^ 



jjrjr i t 



ftete 



§MM 



-95 8 9 10 

-8 12 



10—11—9—12- 



12 11- 



10- 



10—11 — 9- 



10—11 — 9—12- 



-12-13-11- 



» g T £-£!r i t c ^y tt r )t f f^f | t[ ^jy t*r¥^ ^ jj-\ 



-f" 12-13—11 

jfr 11 11-12-10- 



9—10 

-9 13- 



^5- 



-li- 



9—10 11- 

-8 12 



11-12-10- 



10- 



11-12-10- 



18.2. FIFTH 



277 



\o\ 



| o | o | Q | [1,4,3,2] 



SR 



j it i - ii JcJjJyr i' ^^r^rr 



££#. 



4& 9 — 8 10- 

-8 12- 



-11-10—9—12- 



12—11- 



-10- 



-11-10 — 9- 



11-10 — 9—12- 



-13-12—11- 



^j^ik^^jj}^ f 1 1 | it c x^r* r Hi 




-*J= 13-12—11 

jfr 11 12-11-10- 



10 — 9 

-9 13- 



^5- 



-11- 



10 — 9 11- 

-8 12 



12—11-10- 



10- 



-12-11-10- 



o o o o 



[1,4,2,3] 



P^ 



[j^ . r^^rt^rt 



e#. 



-95 9 8— lO- 



ll— 9— 10-12- 



11-12- 



* 



8 12- 



lO- 



ll — 9— lO- 



ll — 9—10-12- 



13—11-12- 




*uia££^ 



s*te 



* r*rf f " r fH 



s 



-*f= 13—11-12 

Jfr 11 12-10—1 1- 



10 9- 

-9 13 



.33- 



-li- 



10 9 — 1 1- 

-8 12 



12-10—11- 



12-10—11- 



10- 



278 



CHAPTER 18. FOURTH 



\o\ 



| o | o | Q | [1,2,4,3] 




1 8—12 ' 



^F 11-13-12 

Jfr 11 10-12—1 1- 



-9—13- 



10 — 9- 



^5- 



-li- 



-8—12- 



10 — 9 — 11- 



10-12—11- 



-10- 



10-12—11- 



o o o o 



[1,3,2,4] 



# 



r r *cigr i r f *f *F r rjcigr c ^ 



-95 8 9—10 



10—9 — 11-12- 



12—11- 



-8 12- 



10- 



10 — 9 — 11- 



10 — 9 — 11-12- 



12-11-13- 



* 




I f I I . r } r j * r B f i itr * i± r*r*f " f ^tf * 



^ 12—11-13- 



-9 lO- 



ll 



-£- 



-11- 



11-10-12- 



-9 13- 



-9 10—11- 



11-10-12- 



-8 12- 



10- 



11-10-12- 



18.2. FIFTH 



279 



M I I MOM [1,2,3,4] 



teftf 



^T ri r rJr i rTf F rJtI*rf 



^8- 



-8—12- 



-8 9—10- 



-9—10—11-12- 



11-12- 



10- 



-9—10—11- 



-9—10—11-12- 



11-12-13- 



»cjfc£fnr "tier *r^ 



¥f ■*- Pjrr#rf*F Ix 



-«F 11-12-13 

Jfr 11 10—11-12- 



-9—13- 



-9—10- 



^5- 



-li- 



-8—12- 



-9—10—11- 



10—11-12- 



10—11-12- 



10- 



o o o o 



[1,3,4,2] 



J J * J It 



fa^E 



^ 






-95 8 9 10 

8 11 



10—11 — 8—12- 



12 10- 



10- 



10— 11- 



lS 10—11 12- 

9 12 



12-13—10- 



* 




* .i JtP 



fcffe 



it rTff i trirl!r l rfr f yr 



i 



-*f= 12-13-10 

-jfr — 11 11-12—9- 



9—10 

-9 12- 



^5- 



-li- 



9—10 11- 

-8 1 1 



11-12 — 9- 



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11-12—9- 



280 



CHAPTER 18. FOURTH 



M I M l ° l ° l [1,4,3,2] 



i^ J # 



PPj 



Jr*r r i t 



feii 



jgjg g g 



^93 9 — 8 10- 



-11-10 — 8—12- 



12-10- 



-8 11- 



10- 



11-10- 



13 11-10 12- 

-9 12 



13-12-10- 



»lEJ r ih r r _r » r ff f nt r m *r ^^"r 1 1 r 



-*J= 13-12-10 

jfr 11 12-11—9- 



10 — 9 

-9 12- 



^5- 



-11- 



10 — 9 11- 

-8 11 



-12—11 — 9- 



-10- 



12-11—9- 



o o o o 



[1,4,2,3] 



i^ jl ^ 



■- * r_ r _jr i r*f f*f r'rrjrr 



-95 9 8— lO- 



ll — 8—10-12- 



-10—12- 



-8 11 



1 1 10 

10 13 11 10-12- 

9 12 



13-10-12- 



*tlZ h rrr^vr^^nrk^fJAr ^^ 




-*¥■ 13-10-12 

Jft 11 12—9-11- 



10 9- 

-9 12 



^5- 



-li- 



10 9 — 11- 

-8 1 1 



-12 — 9 — 11- 



10- 



12—9-11- 



18.2. FIFTH 



281 



| o | I M l ° l ° l [1,2,4,3] 




-8 — 11 



J 







g r » r f f*f | jt |-» r r ' r'T l f f*F b r£ 



-*J= 10-13-12 

Jfr 11 9—12-11- 



-9—12- 



-10 — 9- 



^5- 



-11- 



-8 — 11- 



-10 — 9 — 11- 



-9—12—11- 



10- 



-9—12-11- 



o o o o 



[1,3,2,4] 



^? 



# 



* nm 



fffr.rptrffpE 



£ 



-95 8 9-10 



10 — 8 — 11-12- 



12-10- 



-8 11- 



10 11 

10 13 10 11-12- 

9 12 



12—10-13- 



* 




f » r »fff | tt JW^It r »f»ffyr 






-*f= 12-10-13 

-jfr — 11 11—9—12- 



-9 10- 



-9 12- 



^5- 



11- 



-9 10—11- 



11 — 9—12- 



-8 11- 



10- 



11—9—12- 



282 



CHAPTER 18. FOURTH 



M I M l ° l ° l [1,2,3,4] 



i i H J jt 




S 



*r^£ 




tee 



^S- 



-8 — 11- 



-8 9—10- 



-8—10—11-12- 



10-12- 



10-13- 



10—11- 



-9—12- 



10—11-12- 



10-12-13- 



J 




" * r r*f f i tt.- tt r _ * r r*r*f *P Fv 



-*J= 10-12-13 

Jfr 11 9—1 1-12- 



-9—12- 



-9—10- 



^5- 



-li- 



-8 — 11- 



-9—10—11- 



-9 — 11-12- 



-10- 



-9-11-12- 



o o o o 



[1,3,4,2] 



^^ 



A 



rf Tf rr*r* r f 



e^te 



-5t 10—1 1 12- 

-33 8 9 10 12 



12 9- 



-8 10- 



10- 



10—11- 



12 10—1 1 12- 

9 11 



12-13 — 9- 



tee 



tejjtes fif>, te ff )t r i tti- )t rr^ 



teSe 



£ 



-*f= 12-13 — 9 

jfr 11 11-12 — 8- 



9-10 

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^5- 



-11- 



11-12- 



9—10 11 13 11-12 

-8 10 10 12- 



18.2. FIFTH 



283 



l ° l P i | | o | o | [1,4,3,2] 



JfeVJ 



fete 



fff^ tt r te . | rTfr r *rV tt r f 



fete 



-55 1 1—10 — 12- 

48 9 8 10 12 



12—9- 



-8 10- 



10- 



11-10- 



12 11—10 12- 

-9 11 



13-12 — 9- 






Ste* 



££ 



-«F 13-12 — 9 

Jfr 11 12-1 1 — 8- 



10 — 9 

-9 11- 



^5- 



-11- 



— 10 — 9 11- 

-8 10 



12— 11- 



lS 12-11 

10 12- 



o o 00 



[1,4,2,3] 



=P^ 



r *r_rjr i r' l ff l f r'r^ r 'f rf'ff 1 



-95 9 8—10 12 



11 10-12- 



-9—12- 



-8 10- 



1 1 10 

10 12 1 1 10-12- 



-13 — 9—12- 



-9 11- 



£j UJL h> „ ^J U^iftte 



Scte 



te f te f «. te a r *r F teT 1 u r r te *T f f T r f 



-*f= 13 — 9—12 

-jfr — 11 12 — 8—1 1- 



10 9- 

-9 11 



^5- 



-11- 



12 1 1 

10 9 — 1 1 13 12 1 1- 



-8 10- 



10 12- 



284 



CHAPTER 18. FOURTH 



M M I l ° l ° l [1,2,4,3] 



m 




jj g g r 



jtcjr i rr 1 T r ±jrf r*fff i 



^S- 



-8—10- 



-9 — 8—10-12- 



11—10-12- 



-9 12- 



10-12- 



11-10- 



-9 — 11- 



11—10-12- 



-9—13-12- 






Ste 




^ 9—13-12- 



11 



^5- 



-li- 



-8—12-11- 



-9 — 11- 



10 — 9- 



-8—10- 



10 — 9 — 11-13- 



12—11- 



-10—12- 



-12-11- 



o o o o 



[1,3,2,4] 



j t n rfff rtjejrf^F , 



-33 8 9—10 12 



10 11-12- 



-12—9- 



-8 10- 



10 11 

10 12 10 11-12- 



12 9—13- 



-9 11- 



* 



£ 



ttrY^frf i tr^rrff^ r P 



-*f= 12 — 9—13 

jfr 11 11 — 8—12- 



-9 10- 



-9 11- 



^5- 



11- 



11 12 

-9 10—11 13 11 12- 



-8 10- 



10 12- 



18.2. FIFTH 



285 



M l ° l I | o | o | [1,2,3,4] 



r i r , ff 0^40 fllrf^^ 




| o | | o | | o | | o | [1,3,4,2] 



^m 



tefe 



_ a r rt f f | r T f f r ttp **r j*r £ 



^ 



8—12 10 



9 — 11 12- 

-9 10 12 



11 9- 



10- 



-9 — 11- 



12 9 — 11 12- 

-9 11 



11-13—9- 



k *r f tt r s \ \ jt P *r f f r I frrjj *r 



ffp .ii 



i 



-f- 11-13 — 9 

Jfr 11 10—12 — 8- 



10 

-9—13 11- 



,33- 



-li- 



-10-12- 



10 11 13 10-12 

-8—12 10 10 12- 



286 



CHAPTER 18. FOURTH 



M M l ° l l ° l [1,4,3,2] 



W 



te#. 



it r a r r , f »f ff ff r ¥ lt ftt r t 



^5 9- 



-8 12-10- 



11—9 12- 

-10 12 



11—9- 



10- 



11 — 9- 



12 1 1 — 9 12- 

9 1 1 



13-11—9- 



*r f*r tt riir il r l| rji- it rff r 



16 



£ 



-9= 13—11 — 9 

Jft 11 12-10 — 8- 



10 

-9 13-11- 



^5- 



-li- 



— 10 11- 

-8 12-10 



12-10- 



13 12-10 

10 12- 



| o | | o | | o | | o | [1,4,2,3] 



^m 



r )t rr Y i r*fr lt f r *r t r* r f M 



-& 9 10 12 



11 9—12- 



-9 — 11- 



-8 10-12- 



11 9 

10 12 1 1 9—12- 

9 11 



13—9—11- 



jg f*r*1%.¥ar b r *rf r 



'*rff f r fr ^ 



-f- 13 — 9 — 11 

jfr 11 12 — 8—10- 



10 

-9 11-13- 



^s- 



-11- 



-12 10 

10 1 1 13 12 10- 



-8 10-12- 



10 12- 



18.2. FIFTH 



287 



M l ° l M l ° l [1,2,4,3] 



fete 




k^ktt 



^5- 



-8—10 12- 



-9 10-12- 



11—9—12- 



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10-12- 



11 — 9- 



-9 — 11- 



11 — 9—12- 



-9—13-11- 



» rit rf*Ti i *- YV* 



y^ 




€B 



^ 9—13—1 1- 



11 



^5- 



-li- 



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10 

-9-11 13- 



10 11-13- 



12-10- 



-8—10 12- 



10-12- 



12-10- 



| o | | o | | o | | o | [1,3,2,4] 




te##f 



11 r jt rr ltf . rf fT r j|Ml r »rf Ff 



^ 



-8—12-10 

8 * .. J 



-9—10 12- 



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11—9- 



9 11 

10 12 9 1 1-12- 

9 1 1 



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*r tl r tt rfiir l 'r*r' 1 r tt rff 



r»rfff r > 




-f- 11 — 9—13 

jfr 11 10 — 8—12- 



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10- 



,33- 



-li- 



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10— 1 1 13 10 12- 



10 12- 



288 



CHAPTER 18. FOURTH 



| o | | o | | o | | o | [1,2,3,4] 



* 




Mr , rr'f*f r » r» r*rt£ 



.38- 



-8-10-12- 



-9—10-12- 



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-9 — 11- 



10-12- 



-9 — 11- 



-9 — 11- 



-9 — 11-12- 



-9—11-13- 




Part 
Non- 
Symmetrical 




289 




Introduction 



Up to this point we have covered a large number of patterns that use the modified 
version of Slonimsky's recipe descibed in the operning chapter. It may have occurred 
to you that there is something a little arbitrary about that recipe, and that is the 
use of bases that ascend or descend by the same interval at every step. Why not 
use a base that does not do this? There is, in fact, no reason at all. The chapters 
in this part of the book collect a few representative ideas in this direction, although 
the possibilities are almost limitless. 

If our idea is to be abe to generate patterns like these on the fly it makes sense to 
choose bases that are already familiar: these patterns offer a way of ornament pitch 
materials you already know and use in a particular context. As a consequence I have 
picked the two most common triads, some seventh arpeggios and two very common 
scales for coverage here. Naturally, you can choose any base you like including very 
exotic or strange ones. 

Following the approach in the previous part, chapters are organised by base rather 
than pitch-content. Not all of these patterns cover the total chromatic but most 
contain most of the twelve notes and so have a broadly chromatic sound, so that 
breaking them out by pitch content would be unhelpful. I have indicated the pitch 
content of each pattern in its heading. 



291 



292 CHAPTER 19. INTRODUCTION 




Major Triad 



Base 



Patterns 



o o o 



[1,2,3] 1, b2, 3, b5, 5, b6, \>7, 7 



k r¥^ t& i 




-8-12 12 



293 



294 



CHAPTER 20. MAJOR TRIAD 



Hsh- 



| o | l ° l [1, 3, 2, 1] 1, b2, 3, b5, 5, b6, b7, 7 



tes 



,te 



JEHg 



i lt JJJJnHJii 



^3- 



9 11 10- 

-8 12-8-12 12 



-11-9- 



10- 



11—9- 



12- 



11-9 9 9-12 12 



10 10- 



[Oi 



P I | | [1, 2, 3, 1] 1, b2, 3, b5, 5, b6, b7, 7 



fete 



te. 



m& 



jj»jjj»^j^^^^ 



^3- 



-8-12 8-12 12- 



-8 9—11 

11 10 10- 



-9—11 12- 



-9—11 9 9-12 12 



10 10- 



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320 



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324 



CHAPTER 22. MAJOR SEVENTH 



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326 



CHAPTER 22. MAJOR SEVENTH 



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CHAPTER 22. MAJOR SEVENTH 



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10- 



10- 



-8—11-9-12 12- 



11 11 12- 



-9 1013- 



330 



CHAPTER 22. MAJOR SEVENTH 



o | I | o | I | o | [1,3,2,1] 1, b2, 2, b3, 3, 4, b5, 5, b7, 7 



fei 



j^jjjfjjj'"^ 



1310 

11 12 12- 



-10- 



^5 9- 



-8 11-8 9 12-9- 



-8 11-8-12 12- 



10 10 10- 



11- 



11—8 9 12-9-12 12- 

10 10 



\0] — — \B\ 



\®i [1,2,3,1] 1, b2, 2, b3, 3, 4, b5, 5, b7, 7 



*=&*- 



* 



Ar.fT^f f£j 



m$zm 



Jj|JffWJJ*ff-J*S a 



-9 1013 

11 11 12 12- 



10- 



^8- 



-8 8—1 1 9-12 9- 



-9 10 10 10- 



-8—11 8-12 12- 



8—11 9-12 9-12 12- 

10 10 



M I M I l ° l [1, 3, 2, 3] 1, b2, 2, b3, 3, 4, b5, 5, b7, 7 




W\ — ysA — hm 



[1,3,2] 1, b2, 2, b3, 3, b5, 5, b6, 6, 7 



»#*fcte 




-11—9- 



^5- 



-8-121012- 



11—9-10 12- 



-9 9 11 



-9 121012- 



-9 9 1 1-12- 



10 12- 



331 



o o o 



[1,3,2,1] 1, b2, 2, b3, 3, b5, 5, b6, 6, 7 



*efe 



it r »rrVrrrm 



jJH^ J " J E 



-11—9 

-12-10 12 12- 



^3- 



-8-1210-8-12 12- 



11—9 10 1210- 



-9 9 11-9- 



9 9 11-9-12 12- 

10 1210 



\o] — HsH — [ei 



[1,2,3,1] 1, b2, 2, b3, 3, b5, 5, b6, 6, 7 



Y t tr r ^f r f ff PF | 



JJJJJj^FJlg 



» 



-9—11 

-9 1012 12 12- 



^5- 



-8-1012-8-12 12- 



-9—11 1012 10- 



-9 9—11 9- 



-9 9—11 9-12 12- 



1012 10- 



heH — [o] — \o{ 



[1,2,3,2] 1, b2, 2, b3, 3, b5, 5, b6, 6, 7 



J W J B| 



WW!? 



»<*te* 



^i ti ryfffg E 



-9—11-9- 



^5- 



-8-10-12-10-12- 



-9—11-9-1012 12- 



-9 9—11 11 



-9 9—11 1112- 



-9 10-121012- 



1012 12- 



332 CHAPTER 22. MAJOR SEVENTH 




Minor Seventh 



Base 



f^r 



Patterns 



o o o o 



[1,3,2,4] 1, b2, b3, 4, b5, 5, b6, 6, b7 



*TJ 




IMJ^J^I 



tgjg JrrrVfte 




te 



^B 8 9 11-9-12-10 

8 1 1 1 1 



10—8—11- 



-9 10 13-11- 



10- 



10—8—1 1-8 11 12- 



333 



334 



CHAPTER 23. MINOR SEVENTH 



I Q I I | o | | o | o | [1,2,3,4] 1, b2, b3, 4, b5, 5, b6, 6, b7 




-8—11 11 



\0] — — — \Bj 



J5Pj 



m [1,2,3] 1, b2, b3, 3, b5, 5, 6, 7 



ufljfl i Efjrterrf i 



-9—11 



-95 9 10-12-10 



-8-12 11- 



10 12- 



10- 



-9—11—8-12 12- 



\B\ 



| Q | | Q | [1, 3, 2, 1] 1, b2, b3, 3, b5, 5, 6, 7 



mp 



* 



F~~^ ir 



M 



eSS 



g^ J 4 



-10- 



-12- 



^ 9- 



-8 12-8—11 11- 



11-9 

1210 10 10- 



1 1-9 8 12-8-12 12 



10 10- 



\o\ 



| Q | | o | [1, 2, 3, 1] 1, b2, b3, 3, b5, 5, 6, 7 



3 



te. 



IS 



J J ^Jj t 



9—11- 



^33 9 10-12 10 10 



-8-12 8—1 1 1 1- 



10 12- 



-9—11 8-12 8-12 12 



10 10- 



335 



Hs4 



| o | | o | [1,3,2,3] 1, b2, b3, 3, b5, 5, 6, 7 



i i i i ^^ ^ ^ i Jf rfti^ 



+.+jt^ 




9 9- 

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-33 9 9 12-101210 

8 12 11 



11-9-11 



10- 



1 1-9-1 1—8 12 12- 



H5H — — \o] — — he^ 



[1,2,3] 1, b2, b3, b5, 5, 6, b7 



5p 



g l rjd Ti 



|^£ 



-95 9 9-12-10 



-8—11- 



-8—11 11- 



10 11- 



10- 



-8—11-8-11 12- 



o | I | o | I | o | [1, 3, 2, 1] 1, b2, b3, b5, 5, 6, b7 



J I I = PJE 



i 



P"l 



-10 1 1- 



^5 9- 



-8 11-8-11 11- 



11—8 

12-9 10 lO- 



ll— 8 8 11-8-12 12- 



10 10- 



| o | I | o | I | o | [1, 2, 3, 1] 1, b2, b3, b5, 5, 6, b7 



m 



».u - , r , r$M- 



i 



ip^ 



^5- 



-8—11 

-9 9-12 10 10- 



-8—11 8-11 11- 



10 11- 



8—11 8-11 8-12 12- 

10 10 



336 



CHAPTER 23. MINOR SEVENTH 



o | I l ° l I l ° l [1,3,2,3] 1, b2, b3, b5, 5, 6, b7 



* 



gfa ^ 



fiSEl 



jj^jjjjjF lt j j i aa 



9 9- 

10 10 1 1 



-35 9 9 12-9-1210 

8 11 11 



11—8-11 



lO- 



ll— 8-11-8 1 1 12- 



M P i I I M [1,3,2] 1, b2, 2, b3, 4, b5, 5, 6 



g^ Jj | J ~1 



5 



jg ,fa fir 



-li- 



^5 9 12-8-10 12- 

8 10-11 



10 lO- 



ll 8 1012- 



10 12- 



[O] — \B\ 




m [1,2,3] 1, b2, 2, b3, 4, b5, 5, 6 

te 



P^J^ I ttf' 



p i , r»r if trtr 



^5- 



-9 8-121012- 



11- 



-8-10 11- 



10 10- 



1012- 



11—8-10 12- 



o | | o | I I | o | [1, 3, 2, 1] 1, b2, 2, b3, 4, b5, 5, 6 



5 



* 



i 



gp j gp q 



ii- 



^5 9 12-8 10 1210 

8 10-8—11 11 



10 lO- 



ll 8 10-8-12 12 



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337 



O O 



N [1,2,3,1] 1, b2, 2, b3, 4, b5, 5, 6 



1 



* 



> ».b > f.ff¥ 



i 



Pip 



li- 



-35 9 8-12 10-12 10 



-8-10 8—11 11- 



10 lO- 



ll 8-10 8-12 12- 



1012 10- 



\B] — \0] — — — \B] 



[1,2,3,2] 1, b2, 2, b3, 4, b5, 5, 6 



I HJ tt Jl l 




te, 



*rr* rUrtfTU 



^3- 



n — 

-9 8-12-8-1012 12- 



-8-10 10-11- 



10 10 lO- 



ll 8-10 1012- 



1012 12- 



\Bi — h^ 



m [1,3,2,3] 1, b2, 2, b3, 4, b5, 5, 6 



i r n n r g r *f ff. 




^S 



gP J w fl 



3p 



-9 9- 



-10 10 lO- 



ll — 11- 



-11 11—8 10 12- 



-Q 9 9 12-8-12-10 12 

8 10 11 



10 12- 



| o | | o | I | o | o | [1,3,4,2] 1, b2, 2, b3, 4, b5, 5, b6, 6 




-8 10-11 



338 



CHAPTER 23. MINOR SEVENTH 



| o | | o | I | o | o | [1,4,3,2] 1, b2, 2, b3, 4, b5, 5, b6, 6 



J a aa 



Mrrfr^r r 11 ^ ^ 



j i Jtjj t j^^j ^ 



^5- 



n-io — 

-9—8 12-1 1-8-10 12- 



-8 10-11- 



10—9- 



-1 1-10 8 10-12- 



1310 



10 12- 



M l ° l I l ° l ° l [1,3,2,4] 1, b2, 2, b3, 4, b5, 5, b6, 6 




Ppg^ 3 



tnMr ^ 




te 



10 11- 



-95 8 9 11-8-12-10 12 

8 10 1 1 



-9 10 1310- 



10 11—8 10 12- 



10 12- 



\B] — \B] — — [OiO] 



[1,2,3,4] 1, b2, 2, b3, 4, b5, 5, b6, 6 




\B] — [O] — k34 



[1,3,2] 1, 2, b3, 3, 4, 5, 6, 7 



P^ 




^5- 



-8-12-10-11- 



9 

10-8-10 12- 



-9 8-121012- 



1210- 



10 12- 



339 



o o o 



[1,3,2,1] 1, 2, b3, 3, 4, 5, 6, 7 



m 



*rrrrrrrr i 



^5- 



-9- 



-8-12-10-8—1 1 1 1- 



-10-8 10 1210- 



1210- 



-9 8-1210-8-12 12- 



10 12-10- 



o o o 



[1,2,3,1] 1, 2, b3, 3, 4, 5, 6, 7 



3| 



mm 



^s- 



-8-10-12-8—11 11- 



-8-10 1012 10- 



1012- 



1012 10- 



-9 8-1012-8-12 12 



\o] — hen — \e\ 



[1,2,3,2] 1, 2, b3, 3, 4, 5, 6, 7 



f 



*nz* 



^3- 



-8-10-12-10-11- 



9 

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1012 12- 



-9 8-10-121012- 



10-1210 



HSH — \Oi 



[1,2,1] 1, 2, b3, 4, 5, 6 



um 



m 



^5- 



-8-10-8—11 11- 



-8 101210- 



10- 



101210- 



-8-10-8-12 12 



340 



CHAPTER 23. MINOR SEVENTH 



\B] — — — O O O 



[1,3,2,4] 1, b2, b3, 3, 4, b5, 5, b6, 6, 7 



i JJ ^tf 



fe 



j ^OT l ^c ^^ 



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-Q 8 9 11-10-12-10 

8 12 11 



10-9—11 



■10- 



10-9—11—8 12 12- 



\o\ 



| Q | Q | Q | [1,2,3,4] 1, b2, b3, 3, 4, b5, 5, b6, 6, 7 



it r fi i rff*f i 




\o] — — [e] — \e\ 



[1,3,2,1] 1, b3, 4, b5, 5, b6, b7 



m 



P-* 



IWr > fy f I 



UJJWJ! 



^ 8- 



-8 11-8-11 11- 



-10—8 

-11—9 10 10- 



-9 13-11- 



10—8 8 11-8-12 12- 



10 10- 



o o o 



[1,2,3,1] 1, b3, 4, b5, 5, b6, b7 



m 



*r*rrYTrr i 



j tt j^jjM j j^ 



-9 11-13- 



^3- 



-8-10- 



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8 9—11 10 10- 

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10 10- 



341 



HSH — — \B\ 



[1,2,1] 1, b3, b5, 5, b7 



jJ j ^J J ^ 



y rrr ^ r ^ | 



5f 



^5- 



-8—11-8-11 11- 



-9 10 10- 



11- 



-8 8—11-8-12 12 



10 10- 



| o | I I I | o | o | [1,2,3] 1, b2, b3, 4, b5, 5, b6, 6 



s*^ 




gfeiA^A 



-35 8 — 9 11-12-10 

8 1 1 



10-11- 



-9-10 13- 



10- 



10-11—8 12- 



| o | I I I | o | o | [1, 3, 2, 1] 1, b2, b3, 4, b5, 5, b6, 6 



J * J UW 



W 



i» — #■ 



n 



fefe 



^& 



gtf Jit J w Jt 



-11-10- 



-35 9—8 12-11 10 10- 

8 8—11 11 



10—9 13- 



11-10 8 8-12 12- 



10 10- 



\&\ 



\®W\ [1, 2, 3, 1] 1, b2, b3, 4, b5, 5, b6, 6 



3 



*te 



» r .«>]»> fff i 



^Pgpg^ 



-9- 



-^ 10-11 

S£ 8 — 9 1112 10 10 

8 8—11 11 



-9-10 13- 



10-11 8 8-12 12 

10 10 



342 



CHAPTER 23. MINOR SEVENTH 



\Oj 



m®} [1, 3, 2, 3] 1, b2, b3, 4, b5, 5, b6, 6 



S3 



<HU*hJfW*£ 



Mr»ftt,ntrr^rTg 



j tt J w J ft 



-9 9- 



^5 9—8 — 9 12-11-12-10 

8 1 1 



-11-10-11 



10- 



10—9-10 13- 

11-10-11—8 12 



o o 



[1,2,1] 1, b3, 3, 5, 7 



l^i 



tr!ruJ \ 



^3- 



-8-12-8—11 11- 



10 10 10- 



12- 



-9 8-12-8-12 12 



10 10- 



| o | | o | M | o | [1,3,4,2] 1, b2, 2, b3, 3, 4, b5, 5, 6, 7 



B 



* r dr r Pr r ffe 




i^j jt j^'i 



^3- 



-8-12 10-11- 



9—11 

-9 1012-8-10 12- 



10 12 10- 



-9—1 1 8-12 1012- 



10 12- 



Q | | o | | Q | | o | [1,4,3,2] 1, b2, 2, b3, 3, 4, b5, 5, 6, 7 



3 



* 



JH J Jj|J - J V J ^^ 



11-9- 



-& 9 1210-8-10 12 

8 1210-1 1 



10- 



11-9 8 12-1012- 



1210- 



10 12- 



343 



\o\ — \o\ — \o\ — \o\ 



[1,3,2,4] 1, b2, 2, b3, 3, 4, b5, 5, 6, 7 




^ q 3 ' ' 



1 




Itrfafirfrfr 



#p 



-10 12-10- 



^3- 



-9 11- 



-9 11—8-12-10 12- 



-8-12-10 11- 



-9 10-8-1210 12- 



10 12- 



| Q | | o | | Q | | o | [1,2,3,4] 1, b2, 2, b3, 3, 4, b5, 5, 6, 7 




JJ^JI 




fefek 



^ 



te 



^3- 



-8-10-12 11- 



-9 8-10-121012- 



-9—11- 



10 1012- 



1012- 



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\&i — 1&] — — \0\ 



[1,3,2] 1, 2, b3, 4, 5, b6, 6 



T\ \ F r f tJr ^ 




jritWW' i^* 



^ 8- 



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10 

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-9 1310 



10 8 10-12- 



10 12- 



o o o 



[1,3,2,1] 1, 2, b3, 4, 5, b6, 6 



1 



tt rrrVrrr i 



J J JJ^ JJ J^ 



1310- 



^S 8- 



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10 

11-8 10 1210- 



10 8 10-8-12 12 



10 1210- 



344 



CHAPTER 23. MINOR SEVENTH 



o o o 



[1,2,3,1] 1, 2, b3, 4, 5, b6, 6 



1 



J*. 



Mm 



^j j * j j 



10- 



-33 8 8—11 10-12 10 



-8-10 8—11 1 1- 



-9 10-13- 



10 8-10 8-12 12 



1012 10- 



| o | | o | I | o | I [1, 2, 3, 2] 1, 2, b3, 4, 5, b6, 6 



3 



fe=li 



^5- 



-8-10 10-11- 



10 — 

-8 8—11-8-1012 12- 



-9 101310 



10 8-10 10-12- 



1012 12- 



\o\ 



m [1,2,1] 1, b2, b3, b5, 5, 6 



3#*3ff 



m 



* 



_ i ' _^ ^ 



-li- 



-3£ 9 12 10 10- 

8 8—11 11 



-10- 



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10 10- 



o o 



[1,2,1] 1, b3, 4, 5, b6 



«W J J^ J " J 



T \\ .r.iM.\ 



^S 8- 



-8 8—11 11- 



10 

-11 10 10- 



9 13 

10 8 8-12 12- 

10 10 




Half Diminished 
Arpeggio 



Base 



I 



m 



IT 



F^ 



Patterns 



HsH — \o] — — \b\ 



[1,2,3] 1, 2, b3, 4, b5, b6, b7, 7 




?*# 



to 




te 



-ii- 



^ 



-8 8—11—9-11- 



-9 — 8-10- 



-810 11- 



1012- 



10—8-10 11- 



-9 9-12-1113- 



345 



346 



CHAPTER 24. HALF DIMINISHED ARPEGGIO 



\o] — \e\ — — HSH- 



[1,3,2,1] 1, 2, b3, 4, b5, b6, b7, 7 



fe: 



w p r Yfr r *rrf fe 



jjjjjtj^jj it ^^ ^t 



iiifc* 



-li 

-12-9 11 13-11- 



^5 8- 



-8 10-8—11 11- 



1 1-8 9 1 1-9- 



-9 8 10-8- 



10 8 10-8—11 11- 



10 12-10- 



o o o 



[1,2,3,1] 1, 2, b3, 4, b5, b6, b7, 7 



I. 



i t, ^j^jtrFFf 



J^jtJ^ J J^ J '^ 



— n — 

-9 9-12 1113 11- 



-Q 8 8—11 911 9 

8-10 8—11 11 



9 810 8 



10 8-10 8—11 11- 



1012 10- 



o | | o | I | o | I [1, 3, 2, 3] 1, 2, b3, 4, b5, b6, b7, 7 



f 



jtJJJ|tJ J J J ltEa£f l £L£f' 



0—Z- 



teefi 




11 — 11- 

-9 9 12-9-12-11 13 



-8 8- 



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8 10 11 



9 9 — 8 10- 



10 10—8 10 11- 

10 12 



o o o 



\®i [1,3,2,4] 1, 2, b3, 3, 4, b5, 5, b6, 6, b7 




-8-1210 11 



347 



| o | | o | | o | | o | [1,2,3,4] 1, 2, b3, 3, 4, b5, 5, b6, 6, b7 






-1012 



^3- 



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-9 810 12—9—11- 



-8-10-81012- 



1012- 



-9—11—8-10 12 11- 



10 9—1 1-13-1 1-13- 



o | | o | I I | o | [1,2,3] 1, 2, b3, 3, 4, b5, b6, 6, b7 

tW r Vptfte gt 




qp '\ \ W " 




-& 9 8-12—9—1 1 



10—8-10- 



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1012- 



11—8-10 11- 



10 9-13-1 1-13- 



12 



[O] — \B\ 



m [1,3,2,1] 1, 2, b3, 3, 4, b5, b6, 6, b7 



5 



I 



*r,.tt,nr Jrf t f f ^Ffr , 



J#'J^J'WM 



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10 13—9 11 13-11- 



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1 1 8 10-8—11 1 1- 



10 1210- 



o o 



m [1,2,3,1] 1, 2, b3, 3, 4, b5, b6, 6, b7 



J^ pl? Jfff -=Fl -I III r ill 



tt 'U tt Jr J ff 



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^3- 



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-1 1 8-10 8—1 1 1 1- 



10-12 10- 



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348 



CHAPTER 24. HALF DIMINISHED ARPEGGIO 



\b] — \e\ 



m [1,3,2,3] 1, 2, b3, 3, 4, b5, b6, 6, b7 



Pi^ i cfcPrlOTJ I 



i^^j t 



3^f 



12 12- 

-10 10 13—9-13-11 13 



-9 9 



-35 9 9 12-8-12—9 1 1 

8 10 1 1 



10 10—8 lO- 



ll 11—8 10 11- 



10 12- 



\Bi — — \B\ — he4 



[1,2,3] 1, b2, b3, 4, b5, b6, 6, b7, 7 




-8—11 11 



o o o 



[1,3,2,1] 1, b2, b3, 4, b5, b6, 6, b7, 7 



«Pfc 



t w r - r ff r ^Ff £ 



J J itJJJ» J ^ 



11—9 

1210 11 11- 



-& 8 1 1—9 9 12-9 



9 8 11-8 



-8 11-8-11 11- 



— 10—8 8 11-8-11 11- 

10 10 



IB] — — \B] — \B\ 



[1,2,3,1] 1, b2, b3, 4, b5, b6, 6, b7, 7 



^ 



TJJff 



*. » i»ttr- i i»ttit 



tefe, 



V n - r rr r rrm 



-9—11 

-9 1012 11 11- 



-35 8 9—1 1 912 9 

8—11 8-11 11— 



9 8—11 8- 



— 8-10 8—11 8-11 11- 

10 10 



349 



o o o 



[1,3,2,3] 1, b2, b3, 4, b5, b6, 6, b7, 7 




^+ 



\®H [1,2,1] 1, b3, 4, b5, b6, b7, 7 



i. if J rfr ff CXfe 



»^1 



-11 — 

-9 12 11 11 



^5 8- 



-8 8—11 11- 



11 9 9- 



-9 8 8- 



10 8 8—1 1 1 1- 



10 10- 



| o | I | o | I | o | [1,2,3] 1, b2, b3, 3, b5, 6, b7 




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| o | I | o | I | o | [1, 3, 2, 1] 1, b2, b3, 3, b5, 6, b7 



1 



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350 



CHAPTER 24. HALF DIMINISHED ARPEGGIO 



o o o 



[1,2,3,1] 1, b2, b3, 3, b5, 6, b7 



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351 



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m [1,2,1] 1, b3, 3, b5, 6, W 



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m [1,2,3] 1, 2, b3, 3, b5, 5, 6, b7 




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352 



CHAPTER 24. HALF DIMINISHED ARPEGGIO 



hsH — — — \b\ — hen 



[1,3,2,1] 1, 2, b3, 3, b5, 5, 6, b7 



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m [1,3,2,3] 1, 2, b3, 3, b5, 5, 6, b7 




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353 



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| o | I | o | o | [1,4,2,3] 1, 2, b3, 3, 4, b5, b6, 6, b7, 7 



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o | M I | o | o | [1,2,4,3] 1, 2, b3, 3, 4, b5, b6, 6, b7, 7 



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M M I l ° l ° l [1,3,2,4] 1, 2, b3, 3, 4, b5, b6, 6, b7, 7 




j H ft Jtt'V tt 3 ^ 



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| o | | o | I | o | o | [1,2,3,4] 1, 2, b3, 3, 4, b5, b6, 6, b7, 7 




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354 



CHAPTER 24. HALF DIMINISHED ARPEGGIO 



M ill l ° l ° l [1,3,2] 1, b3, 3, 4, b5, b6, 6, b7, 7 




h^+ 



m®i [1,2,3] 1, b3, 3, 4, b5, b6, 6, b7, 7 




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JM J J. # J *' M 



ggg 



W^\ [1, 3, 2, 1] 1, b3, 3, 4, b5, b6, 6, b7, 7 



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m^\ [1, 2, 3, 1] 1, b3, 3, 4, b5, b6, 6, b7, 7 



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355 



hen 



\&\e\ [1, 2, 3, 2] 1, b3, 3, 4, b5, b6, 6, b7, 7 




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| o | I | o | | o | o | [1,2,4,3] 1, b2, b3, 3, 4, b5, b6, 6, b7, 7 




-8—11 11 



356 



CHAPTER 24. HALF DIMINISHED ARPEGGIO 



\B] — — \Oi — \OiO] 



[1,3,2,4] 1, b2, b3, 3, 4, b5, b6, 6, b7, 7 




| o | I M | o | o | [1,2,3,4] 1, b2, b3, 3, 4, b5, b6, 6, b7, 7 

1 r , r "rfM ^ftf t ff i 




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M I I | o | o | o | [1,3,2,4] 1, 2, b3, 3, 4, b5, 5, b6, 6, b7, 7 

l, w r^ c « l »fnci;'r>f 'rVrfriPfr , ffif | 



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358 CHAPTER 24. HALF DIMINISHED ARPEGGIO 




Common 
Pentatonic 



Base 































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Patterns 



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[1,2,1] 1,2,3,4,5,6 



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359 



360 



CHAPTER 25. COMMON PENTATONIC 



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\0\ — \Q\ — \B\ 



[1,2,3] 1, b2, 2, 3, b5, 5, b6, 6, 7 



N rt^^ i ^rril 



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361 



o o o 



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mm 



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362 



CHAPTER 25. COMMON PENTATONIC 



o o o 



[1,3,2,3] 1, b2, 2, 3, b5, 5, b6, 6, 7 



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13—10 10 12— lO- 
ll 9 12 12 



363 



o o o 



[1,2,3,1] 1, 2, 3, 4, b5, 5, 6, 7 



m 



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o o o 



[1,3,2,3] 1, 2, 3, 4, b5, 5, 6, 7 



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# = 0- 



r i *r r r f r ? ^M 



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364 



CHAPTER 25. COMMON PENTATONIC 



O O 



[1,2,1] 1, 2, b3, 3, 4, 5, 6, b7 



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365 



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m 



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ffrfff i 



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12 



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366 



CHAPTER 25. COMMON PENTATONIC 



| o | I I | o | | o | [1,3,2] 1, b2, 2, b3, 3, b5, 5, b6, 6, b7, 7 



JJ1\P1\$J I ! 



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P I l ° l [1,2,3] 1, b2, 2, b3, 3, b5, 5, b6, 6, b7, 7 




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368 



CHAPTER 25. COMMON PENTATONIC 



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369 



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370 



CHAPTER 25. COMMON PENTATONIC 



\Oi — \®1 — — — \®1 



[1,3,2,3] 1, b2, 2, b3, 3, b5, 5, b6, 6, b7, 7 



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^^ 



M 9- 



11 9- 



-8 10—12—10 12 12- 



11 9 

-9 11 — 10 12 12- 



-9—11- 



1 <■ *r r r f 'r r r ' *r i 


i »r rt r y f r f r *P r f i 

























371 



| o | | o | | o | | o | [1,2,4,3] 1, b2, 2, b3, 3, b5, 5, b6, 6, b7, 7 



jg J ^J g jg 



^3- 



-11 — 9 9- 



-8 — 10 12—10—12 12- 



11 9 9 11- 

1 1 — 10 — 12 12 



* 



jg u y *ir *f f f f 



te * 



11 — 9- 



1 1 9 9 11 9 — 1 1- 



^5- 



-10—12 12- 



1 1 9 10 12—10—12- 

12 



o o o o 



[1,3,2,4] 1, b2, 2, b3, 3, b5, 5, b6, 6, b7, 7 




^8- 



-9 9 11 11- 



-8 9 1 1 1 1 9- 



-8 — 12—10 10 12 12- 



-9 10 12 12- 



r rk r r L-gJf ^ r , »r *r r r y ¥ r f r ff l 



te 



-9 9- 



^ 



9 11 11 9 9- 

10 12 12 



9 9 11- 

-1 1 12 — 10 10 12 



11 12- 



372 



CHAPTER 25. COMMON PENTATONIC 



M | o | | o | | o | [1,2,3,4] 1, b2, 2, b3, 3, b5, 5, b6, 6, b7, 7 




^3- 



9 9 11 9- 

-8 — 10—12 10—12 12 



8 9 11 9 — 11- 

11 10 — 12 12 




b , , r fe r r ■ it f *r " i d 




-9 11- 



^33- 



-10—12- 



-9 1 1 9 — 11 9 — 1 1- 

12 



-9 11 10—12 10—12- 

12 



M ill l ° l ° l [1,3,2] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 




tt r vJrVr^rcJE Ng^i 



-9 1110 



-8- 



-8 11-10 12 



-Q 9—8 11-10 12-10— 12- 

8 10 12- 



-9 1 1-10 13 10- 



1 1-10 12-9 12- 



10 12- 



| o | I I I | o | o | [1,2,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 




itf.HHff¥rfe 



-9 10-11 



^ 8 10-1 1 12- 

-93 8 — 9 10-11 12 10 12 



-8 10 12- 



9 10-1 1 13 10- 

10-1 1 12 9 12 

10 12 



373 



\B] — — — — \OiO] 



[1, 3, 2, 1] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



PP P J J * J 3 



Pl^J r »f ^ 



^3- 



-9 8 1 1 — lO- 



ll — 10- 



12- 



-8 8 — 10 10—12 



-12 10 10 — 12 12- 

12- 



<L fejg , ^ te jg 



£±££ 



11 — 10- 



12 9- 



11- 



^3- 



-10 10—12 12- 



10- 



13 10- 

-9 — 12 12 



11—10- 



10- 



| o | I I I | o | o | [1, 2, 3, 1] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



i h j h , r ffr r 



= ^ P : 



^3 8 9- 



-10 11 12- 



-8 10 11 12- 



-8 8 — 10 10—12- 

.ftf.,f<f,ff 



10 10 — 12 12- 



«r . ? Me f V f ¥ g 



-9 10- 



10 11 12 9- 



.33- 



-10 10—12 12- 



9 10 11 

11 13 10 10- 



-9 — 12 12- 



374 



CHAPTER 25. COMMON PENTATONIC 



\Oi — — — — ^f&^ 



[1, 2, 3, 2] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



J J P p J J p s 



pg 



g ^ J , r B 



-Q 8 9 8 10 11 — 10 12- 

8 10 12 



10 1 1 — 10 12 12- 

12—10 12 



. r tt r fe e f fe fe c 



IfJ* 



#N f ^ 



-9 10- 



^3- 



-10- 



10 11 — 10 12 12 — 9- 

12 



11 — 10 13 13—10- 

12 



10 11—10- 



| o | I I I | o | o | [1,3,2,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



J P P P J P V P J g 



tf j g g l jg b j 



-8 8- 



^8- 



-9 8 9 11—10 11- 

-8 10 12- 



-8 1 1—10 1 1 12- 



12 10- 



12- 



| - ^ y $ r it p i i r » r g I , 1 1 f I ¥ I ^r 1 1 j ^ 



-9 9 11- 



.33- 



-lO- 



ll— 10 — 11 12 9- 

12- 



-9 9 11—10 — 11- 



10 — 11 13 10- 

12- 



375 



| o | I | o | I | o | [1,2,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



^Ppggjgg ^ 




VsM 



*$\&!r$??& ^ i 



9 1 1- 

-9 11 11 10-13 



8 8—11 10- 



-3Z 9 8—11 10 10 12 



-8—1 1 10 12- 



8—11 10 9-12 12- 

10 12 



| o | I | o | I | o | [1, 3, 2, 1] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



i ¥ ftJ J ^J i Bj 



g jtJ J h , *r s 



^5 9- 



-11 — 8- 



-11 8- 



10- 



-8 11 — 8 10 10—12- 



10 10 10 — 12 12- 

12 



j g t r , ^ * r \ r r *r i r r r * f * r f ^ r f I r i 



-11 8- 



10 9- 



-11- 



^ 



-10 10 — 12 12- 



-11- 



11 10 13—10- 

12 — 9 — 12 12 



376 



CHAPTER 25. COMMON PENTATONIC 



to] — — \o] — — he^ 



[1, 2, 3, 1] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



J %J P J ^J P » J J J > 



3 



5^r 



^3- 



-9 8 11 10- 



-8 8 11 10 

10 10 — 12 12- 



8 10 10—12 ■ 12 ■ 

' r r i V "f r r 1 1 *T r r r * f r * r 1 1 r i 



-9- 



11- 



-8 11 10 9 12- 



^3- 



-10 10 — 12 12- 



11 11 10 — 13 10- 

9 — 12 12 



| o | I | o | I | o | [1,3,2,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



i ¥ ftJ a ^J I Bj 



g J ^ hr ff r "P ? 



-8 8- 



-3£ 9 9 11 8 — 11- 



-8 11 — 8 — 11 10- 



-8 11 10- 



A 



11 8 — 11 10 10 12 

12 ' 



.33- 



-10- 



9 9 1 1- 

11 8 — 11 10 9 

12 



9 9 11 11- 

11 11 10 13 



12 12- 



377 



IB] — — he^ — loio] 



[1,4,2,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



J & p P p f J a H J g I J ■ J ■= ^ 



j itJ @ s *r r ^f 



-8- 



^3- 



-9 8 11 — 8 10- 



-8 1 1 10- 



10— 12— lO- 



ll 8 10 10 — 12- 

12 



» r », H r i, «f r 1 r p »<» ■ ' V f *T "f l F J ^ 



-9- 



^3- 



-10- 



11 8 10 10 — 12 — 9- 

12 



11- 



11 10- 



10 1 1 — 13 — 10 13- 



12 12- 



| o | I | o | | o | o | [1,2,4,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 




^5- 



9 8 8 11—10 10- 

-8 1 1 10 12- 



8 11—10 10 12- 

12—10 12 



k # r v v jiirJf r r i *r ^r r *r I *ff 1 1 1 1 



11—10- 



.33- 



-10- 



-8 1 1—10 10 12 — 9 — 12- 



12- 



1 1—10 1 1 13—10—13- 

12 



378 



CHAPTER 25. COMMON PENTATONIC 



\Oi — — \0] — \OiO] 



[1,3,2,4] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 



J ' p W ^J d ¥ *' J - ' ' g g - 



s 



El 



^95 8 9 10 8 11 12- 

8 11 10 12- 



8 10 — 8 11 12 — 10- 

10 10 12 



* 



g vjr r r m-Jt r f r * f ^r 1 ^n 



-9 10- 



^3- 



-10- 



10 8 11 12 — 10 9- 

12 



9 10 11- 

11 13—11 10 13 



12 12- 



| o | I | o | | o | o | [1,2,3,4] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, b7 




379 



\o] — — — he 



K>N [1,3,4,2] Total Chromatic 



g u \ 



■ g I h 



tfd:^ 



J ^H J J ^ 



^95 8 9 10 1 1 — 9 12- 

8 12—10 12 



-8 10 11 — 9 12 11- 

11 — 10 12 



& - r tt p . - ^t t p P , I ^r^y f * f M r 



te * 



-9 10- 



-jfr- 10 — 1 1 — 9 12 11 — 9- 



^3- 



-10- 



12- 



11 9 13 12 — 10- 

12 



-9 10 — 11 — 9- 



h©4 



| | | | [1,4,3,2] Total Chromatic 



J p \i J J I J \ J p gg i ■ 8 J i 



j g t i J J ^ ftr^rif 



-8- 



-3£ 9 8 11—10 9- 



12 — 11— lO- 



ll — 10 — 9 12 — 11- 

-12- 



12—10 12 ' ' 

i f k r j . | \ » r r j i f V h ' * f I f 1 1 1 * f I 



11—10 — 9 12 11 — 9- 



-11- 



.33- 



-10- 



-12- 



9 

10 9 13—12—10- 

12 



11—10 9- 



380 



CHAPTER 25. COMMON PENTATONIC 



\o] — — — he 



K>N [1,4,2,3] Total Chromatic 



J P J p J i J P fr J J g i * J J s 



j g j t i J ^ *M*f^ 



^3- 



-9 8 11 9 lO- 



ll— 12— lO- 



ll — 9 10 11—12- 

12- 



12 10 12 ■ ■ 

j> r r ^ r ,«fj r j i r r *r , * r r h r *T f fr^f IS 



-1 1 — 9 10 1 1—12 — 9- 



-11- 



^3- 



-10 12- 



-9- 



-9—10 12—13—10- 

12 



11 9 10- 



h©4 



| Q | Q | Q | [1,2,4,3] Total Chromatic 



J J P P J P t J V J I 




IB , it r »rJ 



^5- 



9 8 9 1 1—10 1 1- 

-8 — 12 10 12 



9 1 1—10 11 12- 

12—10 12 



. ftfVJr it r j g f | 



4Wt 



f jg | r fc *£ fc 



-9 9 11—10- 



-9 9- 



-9 11—10 11 12 — 9- 



.33- 



-10 12- 



-1 1—10 12 13—10- 

12 



381 



\o] — — — he 



K>N [1,3,2,4] Total Chromatic 



flJ 1 H \ 



g h r r r *r 



^95 8 9 10 — 9 11 12- 

8 12 10 12 



8 10 — 9 11 12— 1 1- 

1 1 10 12 




h 



. » r - r r t t r . g , t t r jg ^ f f | jg f f 



-9 10- 



^5- 



-10- 



10 — 9 11 12—11 9- 

12 



-9 11 13—12 10- 

12 



-9 10 — 9 11- 



h©4 



| | | | [1,2,3,4] Total Chromatic 



* 





3S 



-Q 8 9 9 — 10 11 11- 

8 — 12 10 12 



8 9 — 10 11 11—12- 

12 10 12 



few*t te 



jgg > f tt r , | ■ g <tp g f f g ^ 



-9 9- 



^3- 



-10- 



-9 — 10 11 11—12 9- 

12 



10 11 12—13 10- 

12 



-9 9 — 10 11- 



382 



CHAPTER 25. COMMON PENTATONIC 



\0] — \B\ 



\®\®i [1,4,2,3] Total Chromatic 



J p J i ) J J U J E J g! I ff J ^ 



j g J g . ttr ^ 



^3- 



-9 8 11 lO- 



ll 10 9 12- 



-8 10 10 12 12- 



-9 — 12—10 12 12- 




*gj§£fejy> 



1 1 10 9 12 — 9- 



-11- 



^3- 



-10 12 12- 



11 10- 



10 10 — 13—10 12- 



11 12- 



| o | | o | I | o | o | [1,2,4,3] Total Chromatic 




^5- 



-9 8 11 — 10 9- 



-8 — 10 10—12 12- 



11 — 10 9 12- 

12—10—12 12 



* r i r r r * rjr r* r , *rY > ^r^rrr^f i 



11—10- 



-9- 



11 — 10 9 12 — 9 11- 



.33- 



-10—12 12- 



11 — 10 10 13—10—12- 

12 



383 



| o | | o | I | o | o | [1,3,2,4] Total Chromatic 



hJ j g r r r W 



^5 8- 



-9 10 1 1 12- 



-8 10 10 12 12- 



8 10 11 12 — 9- 

-9 10 12 12 



t r f r tt rr r l « r »r^'r¥i>ff*p | 



-9 10- 



-10 11 12 — 9 9- 



^5- 



-10 12 12- 



9 10 11- 

1 1 13—10 10 12 



11 12- 



| o | | o | I | o | o | [1,2,3,4] Total Chromatic 





i j frj j i 



^5- 



8 9 10 11 9- 

-8 — 10 10—12 12 



8 10 11 9 — 12- 

12 10 — 12 12 



» r , r r » r r r i r *r r *r f if r f 




*te 



-10 11 9 — 12 9 — 11- 



^3- 



-10—12 12- 



-9 10 11- 



10 1 1 10 — 13 10—12- 

12 



384 CHAPTER 25. COMMON PENTATONIC 




Major Scale 



Base 









































c> 










«> 








«/ -o- 


o 













Patterns 



o o 



[1,2,1] 1, b2, 2, 3, 4, b5, 5, 6, 7 



Pi* 



-9 9—11-9- 



^5- 



-9 8- 



-8-10-8-101210-12 12- 



10-8-10-121012 12- 



-9 9—11- 



-9-10-121012 12- 



h 



I r r f r r g | | ^ ^ 



10 12 10 12 12- 



10 10 12 10 12- 



12- 



^5- 



385 



386 



CHAPTER 26. MAJOR SCALE 



O O 



[1,2,1] 1, 2, b3, 3, 4, 5, b6, 6, b7, 7 



m 



igggj 



? 



e 



*S J A* 



^3- 



-8 10 8- 



-8—1 1-8-10 10-12 12- 



8 10 9-12 

11-8-10 10-12 12 



-8 10 9-12-9- 



-9-10 1012 12- 



y ^ | | | f e f 



-10- 



-10 12- 



11- 



12- 



10 13 10 12- 



10- 



12- 



^3- 



o o o 



[1,3,2] 1, 2, b3, 3, 4, 5, b6, 6, b7, 7 



? 



tt J W J| ^g 



^^ 



^ 



i M« 



10- 



^S 8- 



10-8 1210-8- 



-8 11-10 12- 



-8 10-8 1210-9- 

1 1-10 12 



10—8 1210-9 12- 



1210 12- 



ttp u y | g ^ 



4 



-io- 



ii 9 13 11 10- 

12 



10- 



13 12- 



12 10- 



^ 



387 



O O O 



[1,2,3] 1, 2, b3, 3, 4, 5, b6, 6, b7, 7 




iP V ' J 



*r m ■£] ' rl 



-10- 



^3- 



-8 8-10 1012-8- 



-8—11 10 12- 



8 8-10 1012-9-12 

11 10 12 



-9 8-10 1012-9-12- 



10 12- 



| *r j e f f V f &^ 



-9 11 11 13 10 13- 



-10- 



10- 



12- 



12- 



10 12- 



^5- 



o o o 



[1,3,2,1] 1, 2, b3, 3, 4, 5, b6, 6, b7, 7 



i^^ii i 



5 



e I ftJ Ji|J it * a 



1 



-9- 



^5 8- 



-10-8 12-10 8- 



-8 11-8—10 10-12 12- 



10—8 12-10 9 12-9- 

1 1-8—10 10-12 12 



yf r r rrrrr*r i <t rr^* rr f i 



10 11- 



10—8 12-10 9 12-9-10- 



^5- 



-10 10-12 12- 



10 12-10- 



-9 13—11 10 1310-12 12- 

10-12 12 



388 



CHAPTER 26. MAJOR SCALE 



o o o 



[1,2,3,1] 1, 2, b3, 3, 4, 5, b6, 6, b7, 7 



1 



Iji 



3 



3 



3f 



-9- 



^3- 



-8 8-10 10-12 8 — 11- 



-8—11 8—10 10-12 12- 



-8 8-10 10-12 9-12 9- 

8-10 10-12 12 



h- 



f r r rff f*r i *Tr rrf ^ ^ -f ff 



10 9- 



-j[- 8-10 10-12 9-12 9-10- 



^5- 



10 10-12 12- 



10 10-12 

1 1 1 1-13 10-13 10-12 12- 

10-12 12 



o o o 



[1,2,3,2] 1, 2, b3, 3, 4, 5, b6, 6, b7, 7 



3 



I 



3 



^JhJ j * ^n^Ef 



0—m — - r 



i fl J'^J'" ^ 



-3£ 8 8-10-8 10-12-10-8—11- 

8—11 11-10 12 



-8 8-10-8 10-12-10-9-12 12- 

11-10 12 



"r l *r"rVrf^rf Ff ffff i 



0-U0- 



10 9- 



-jf- 8-10-8 10-12-10-9-12 12-10- 



^5- 



10 12- 



10 10-12-10- 



11—9 1 1-131 1-10-13 13-12- 

12 



389 



o o o 



[1,3,2,3] 1, 2, b3, 3, 4, 5, b6, 6, b7, 7 




i' lt J^g-*^ 



-9 9- 



^S 8 8 10-8-10 12-10-12-8- 

8 1 1 10 12 



8 10-8-10 12-10-12-9 12- 

11 10 12 



P~)k 



r r *r . »f»ryfrflrffrfff 



10 10 11 



-jj- 10—8-10 12-10-12-9 12 10- 



^5- 



10 12- 



10 10 12-10-12- 



-9—1 1 131 1-13-10 13 12- 

12 



o o o 



[1,2,3] 1, b2, 2, 3, 4, b5, 5, 6, b7, 7 




-10- 



-& 8 10 9-12-8- 



-8 10 9-12-9—1 1- 



-9 10 9-12-9—11- 



-8-10 1012 12- 



10 10-12 12- 



1012 12- 



te f \ 



rf e £ 1 f =fe 



10 12 12- 



10 

1 1 10 13 10 12 12- 



-9 12- 



^ 



390 



CHAPTER 26. MAJOR SCALE 



Q O O 



[1,3,2,1] 1, b2, 2, 3, 4, b5, 5, 6, b7, 7 



P33 



1 



1 



P3S 



0—d-0 



-9- 



^S 8- 



10 12—9 8- 



-8 10—8-10 12-10-12 12- 



10 12-9 9 11—9- 

10—8-10 12-10-12 12 



Efc 



r r r r r # | > ryY i r r rfrr 1 ' 



10 11- 



-10 12-9 9 11-9—10- 



^5- 



-10 12-10-12 12- 



10 12—9 

13-10 10 12-10-12 12- 



12-10-12 12- 



o o o 



[1,2,3,1] 1, b2, 2, 3, 4, b5, 5, 6, b7, 7 



3 



pgs; 



3 



m 



P^35 



-3£ 8 10 9-12 8-10- 

8-10 8-10-12 10-12 12- 



-8 10 9-12 9 — 11 9- 

8-10-12 10-12 12 



*rrrYr i Yrr yfr ff ^ rf iB 



10- 



10 9-12 9—11 9—10-12- 



^5- 



-10-12 10-12 12- 



10 9-12 

11 10-13 10-12 10-12 12- 

10-12 12 



391 



o o o 



[1,3,2,3] 1, b2, 2, 3, 4, b5, 5, 6, b7, 7 



=**=* 



3^ 



# _ # 



-9 9- 



-95 8 8 10 10 12—9-12—8- 

8 10 10 12 12- 



8 10 10 12-9-12-9 11- 

10 10 12 12 



0-—I— 



m pr*T i r* rrf l rfrffff f*ff i 



10 10 11- 



-10 10 12-9-12-9 11 10- 



^5- 



-10 12 12- 



10 10 12—9-12- 



11 13-10-1310 12 12- 



12 12- 



\B\ — — — ^+ 



[1,2,1] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, 7 



m j j j a 



C. Jf «P*fF 



JJJJ^J J» J P 



^8- 



-9 11 8- 



-9 11 9- 



-9 1 1 9 9- 



-8-12-8-10 1012 12- 



12-8-10 1012 12- 



-9-10 1012 12- 



_* f: m t: 5 



r * r ? 



te 



^^^ 10 " 



10 



10 12- 



12 10- 

12 



10 12- 



-11- 



12- 



^5- 



392 



CHAPTER 26. MAJOR SCALE 



\B] — \Oi — \Oi 



[1,2,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, 7 




^3- 



-9 9—11-8- 



-8-10-12-10-12 12- 



10-121012 12- 



-9 9—11-9-11 



-8 9 9—11-9-11- 



1012 12- 




te 



ffTf 



| ie 



-9 11- 



10 12 12- 



10 10 12 10 12 12- 



^s- 



[O] — \Oi — \Bi 



[1,3,2,1] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, 7 



m 



? 



^8- 



9 11—9 8-12- 

-8-12-10—8-10 12-10-12 12 



9 11-9 9 11-9- 

10—8-10 12-10-12 12 



*rr r r*rrf || rr i r r rrrr r ' |Sfrf f I 



-9 10 



-9 1 1-9 9 11-9—10- 



^3- 



-10 12-10-12 12- 



-9 11-9 

12-10 10 12-10-12 12- 



12-10-12 12- 



393 



\0] — KSH — \Of 



[1,2,3,1] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, 7 



P ip J J Jt J J\ \ A 



3 



^5- 



9 9 — 11 8—10- 

-8-10-12-8-10-12 10-12 12 



9 9 — 11 9-11 9- 

12-8-10-12 10-12 12 



*r r rr*rrY l | r i frrrrr f ' f ! fr^ 



9 9—1 1 

10 10-12 10-12 10-12 12- 

10-12 12 



-jf- 9 9—11 9-1 1 9—10-12- 



^3- 



-10-12 10-12 12- 



[O] — KSH — \Bi 



[1,3,2,3] 1, b2, 2, b3, 3, 4, b5, 5, b6, 6, 7 



# 



I 



-8 8- 



^8- 



-8-12-10-12-10 12 12- 



-9 9 1 1—9-1 1—8-12- 



-9 9 11—9-11-9 11- 



10-12-10 12 12- 



#****#*** 



*r^rr tt rrr^rr i rrrrr f rTr f f¥f 



-9 9 10 



~2f- 9 9 11-9-11—9 11 10- 



^3- 



-10 12 12- 



-9 9 11-9-11- 



10 12-10-12-10 12 12- 

12 12 



394 



CHAPTER 26. MAJOR SCALE 



[O] — — — — \B\ 



[1,2,1] 1, 2, 3, 4, 5, 6, b7, 7 



Pf 



3 



3 



# =r-^ 



10- 



^5 8 10 12 8- 



-8 8-10 10-12 12- 



-8 10 12 9- 

8-10 10-12 12 



10 12 9 9- 



9-10 1012 12- 



m 



M- 



j£ 1 r f \ f ~t 



-10- 



-li- 



-10 12- 



13 10- 

12 



-10- 



10 12- 



12- 



12- 



^3- 



| o | I I I I | o | [1,2,1] Total Chromatic 



* 



A 



Jte- 



JFjJPJJWJ ^ 



-9 11 



^5 9 11 

8 8-10 1012 12- 



8 10 

-9 11 9 



-8-10 1012 12- 



11 

-9-10 1012 12- 



-9 9- 



. te . * jg 



* ^ g f 



10- 



12- 



10 12- 



-12- 



10- 



-11- 



10 12- 



13- 



12- 



^ 



395 



M ill l ° l ° l [1,3,2] Total Chromatic 



H^jr^r i rrttrVr^r"^ 




-9 11-10- 



-8 10 



-95 9—8 11-10 12-8- 



9 — 8 1 1-10 12-9- 



-8 10 12- 



10 12- 



-9 1 1-10 12-9- 

— 10 12- 




» r te ^ y | | g 



10- 



12 11- 



12- 



13 lO- 



ll 10- 



12- 



13 12- 



^s- 



| o | I I I | o | o | [1,2,3] Total Chromatic 




r tt r ,f ti f r Hr - 



-9 10-11- 



-8 9- 



-& 8 — 9 10-11 12 8- 

8 10 12 



-8-9 10-11 12 9- 

10 12- 



10 10-11 12 9- 

10 12- 



i 




te 



f j t 



4 



lO- 



ll 12 13 10- 

12 



10 11- 



12- 



12 13- 



^ 



396 



CHAPTER 26. MAJOR SCALE 



h©4 



^>N [1, 3, 2, 1] Total Chromatic 



PF lhr'rircr f 



JWjJM 



« 



-8 9- 



-8 10-9- 



^95 9 — 8 11-10 12 8- 

8 8-10 10-12 12- 



-8 11-10 12 9 9- 

8-10 10-12 12 



IrV.M 



"T'f rrfi^f r*T'fr l|f ^ 1>f ^ f i 



-11-10- 



^3- 



-10 10-12 12- 



11-10 12- 

12 9 9-10 



-11- 



10-12 12- 



-1 1-10 13-12 

13 10 10-12 12- 



\o\ 



\®\®\ [1, 2, 3, 1] Total Chromatic 



gg j^j* 



i 



ft* 



= d \\ d : 

■0- * -d 



-8 9-10- 



-8 8- 



-Q 8 9 10—11 12 8- 

8 8-10 10-12 12- 



-9 10—1 1 12 9 9- 

8-10 10-12 12 



4 



r*-5#- 



r»rrvr i f r rf*fr^ ff 



-^% 10—11 12 

-^ — 10 10-12 12 



-9 10-11 11- 



-9 9—10- 



^5- 



9 10—11 12-13 

12 13 10 10-12 12- 

10-12 12 



397 



h©4 



\®\®\ [1,2,3,2] Total Chromatic 



J J ft J^J J JtfJtjJ J *W* =2$* 




-8 9-10-9- 



-8 8- 



-Q 8 9—8 10—11-10 12 12-8- 

8 10 12- 



-9 — 8 10—11-10 12 12-9- 

10 12- 



iclr rJ±Y cXggJr tjof »r r f | "ff f f^f f 



-jfr 10-1 1-10 12 12-9 



^5- 



-10 12- 



9 10-11-10 11- 

10 



9 10-1 1-10 121312- 

12-11 13 13-10 12 



12- 



\B\ 



^>N [1,3,2,3] Total Chromatic 



j jt ^J jt JjWl^ JW^ 





398 



CHAPTER 26. MAJOR SCALE 



\o] — — — \o] — heH 



[1,3,2] Total Chromatic 



ir^kr^Tr 




P 



^J I JJ ^W£ 



-9 11-9- 



^ 9- 



-8- 



-8 10- 



11-9 11-8- 



9 1 1-9 1 1-9- 



-8 12-10 12- 



1210 12- 



-8 11-9 11-9- 

10 12- 





£ 



tt. 



4 



e tt. 



10- 



12 10- 



12- 



12 lO- 



ll 9- 



12- 



13 11 



^S- 



\0] — — — \B] — \B] 



[1,2,3] Total Chromatic 




t r , r » r r f*r 



-9 9—11- 



-8 8- 



-& 9 9—11 1 1 8- 



-8-12 10 12- 



9 9—1 1 1 1 9- 

12 10 12 



10 9—11 11 9- 

10 12- 




te 



r i r f f £ 



#. 



10- 



10 12 12 10- 

12 



-9 9 11- 



12- 



11 13- 



^5^ 



399 



\0] — — — \B] — \B] 



[1,3,2,1] Total Chromatic 



il& 



3*^ 



-8 10-8- 



^ 9- 



8 9- 

11—9 11 8 



-8 12-8-10 10-12 12- 



11—9 11 9 9- 

12-8-10 10-12 12 



»rrrr*rrrr'Trr l| rr i ff jj^&fei 



-9 11-9 12 



-11—9 11 9 9—10- 



^3- 



-10 10-12 12- 



10- 



-9 11-9 13-11- 



12 10 10-12 12- 

10-12 12 



\B\ 



| Q | P I [1, 2, 3, 1] Total Chromatic 



fe - r ' 



V'J\ \ ^' 



^m 



-8 8-10- 



-Q 9 9—11 11 8—12- 

8-12 8-10 10-12 12 



-9 9 — 11 11 9 9- 

8-10 10-12 12 



■0 _ 



i 



Y r ^p , f r r f*f r ^ £^ 



-^ — 10 10-12 12 



9—11 10- 

-9 9—10 



^5- 



12 12 

10-12 12 



9—1 1 1 1-13 

10 10-12 12- 



400 



CHAPTER 26. MAJOR SCALE 



\B\ 



| Q | P I [1,2,3,2] Total Chromatic 




^3- 



9 9—11-9 11 11—8—12- 

-8-12 12-10 12- 



-9 9—11-9 1 1 1 1-9- 

12-10 12 



-8 8-10-8- 



*fP,ftt 



.*rr" r !r i rrrr'ffr^ f rfff i 




-jf 9—11-9 11 11-9 



^3- 



-10 12- 



9 9—11-9 10- 

10 



9 9—1 1-9 1 1-1311- 

12-10 12 12-10 12 

12 



o o o 



[1,3,2,3] Total Chromatic 




J j H J JW J' Jtt" # t ] J" l # S 



-8 8 9- 



-8 8 10-8-10- 



-S 9 9 1 1-9-11 1 1 8- 

8 12 10 12- 



9 1 1—9-11 1 1 9- 

12 10 12 



% T r r Jr r fftfrrH 




*fffr*ffff g * g 




-f- 9 9 11-9-11 12- 

-j£- 11-9-11 11 9 10- 



^5- 



10 12- 



9 9 11—9-11 13-11-13- 

10-12 12 10 12 

12 



401 



\0] — — hGH — — hGH 



[1,3,2] Total Chromatic 




J^JHJJtt'iHJriMH'HI' 1 



-9 11- 



-95 9- 



-8- 



11-8 10-8- 



8 10 

11—8 10-9 



11—8 10-9 12- 



-8 11-10 12- 



11-10 12- 



1210 12- 



, h , te | > \ r jg te 



fc=l 



fe 



4 



10- 



-12 9- 



12- 



11 

1 1 10 13 12- 



13 10- 



^s- 



\0] — — \B] — — \B] 



[1,2,3] Total Chromatic 




t r kt\ r ¥f r^ 1 



-9 11 



-& 9 8—11 10 8- 



-8—11 10 12- 



9 8—11 10 9-12 

1 1 10 12 



10 8—11 10 9-12- 

— 10 12- 



A 



Y | | f f | f 



-io- 



-9 12- 



-12- 



-11- 



10 13- 



-11- 



-12- 



10 13- 



^5^ 



402 



CHAPTER 26. MAJOR SCALE 



\0] — — \0] — — \B] 



[1,3,2,1] Total Chromatic 



ttriiP . , n 



J J #J Ji|Jt* J 1 J J JH J J J * Ht J J»i 



m 



^ 9- 



8 9- 

11—8 10 8 



-8 10- 



-8 11-8—10 10-12 12- 



11—8 10 9 12-9- 

1 1-8—10 10-12 12 



» r t r yp rrr YYrrf i <t rr v<tf * r r^ rf ^ f i 



11 12 



11—8 10 9 12-9-10- 



^3- 



-10 10-12 12- 



-9 11 13-10- 



11 10 1310-12 12- 

10-12 12 



| o | I l ° l I l ° l [1, 2, 3, 1] Total Chromatic 



fa fttr.^f r 



Jtj^jllj^» j j J^ J ^J^» J 



m 



-8 10- 



-Q 9 8—11 10 8—11- 

8—11 8—10 10-12 12- 



-9 8—1 1 10 9—12 9- 

8-10 10-12 12 



fe ij gtej 



V*r r r i tr i f r r*r*Tr l|r ^ ffl ' 



-9 11 9 



-8—1 1 10 9—12 9-10- 



^5- 



-10 10-12 12- 



9 11 10-13 

12 1 1 10-13 10-12 12- 

10-12 12 



403 



\0] — — \0] — — \B] 



[1,2,3,2] Total Chromatic 



gpP J\M J a igg J JtH I * W" ' 




-8 10- 



^8- 



9 8—11-8 10 10-8—11- 

-8—11 11-10 12- 



8—1 1-8 10 10-9-12 12- 

1 1-10 12 



t , .\Ar f ,tt r , n t ^*r¥Hr¥¥f f'Efo 



tr* r ^As rVfrr r* r i f * rY*rf m if f 



-9 11 9- 



-8—11-8 10 10-9—12 12-10- 



^3- 



-10 12- 



9 1 1 10-1310- 

12—9 11 11-10-13 1312 

12 



| o | I l ° l I l ° l [1,3,2,3] Total Chromatic 



J I HflJ ^Jn 



W\d*l* \ $ * ^ 



^jtJ J h r w r 




8 8 9- 



-Q 9 9 11-8-11 10 8 



-8 11 10 12- 



8 8 10 10- 

9 11—8-11 10 9 12 

1 1 10 12 






-9 9 1 1 1 1 12- 



11—8-11 10 9 12 10- 



^ 



-10 12- 



-9 9 11 11 13-10-13- 



-9-12 11 10 13 12- 

12- 



404 



CHAPTER 26. MAJOR SCALE 



\o] — hen- 



m [1,2,3] Total Chromatic 




fo.. i r.Jr>p»rpr*r 



-9 11- 



^ 



9 1 1 9 8- 

-8-10 10-12 12 



-9 11 9 9-11 



10 1012 12- 



10 1 1 9 9-1 1- 

1012 12- 



te 



rT r g i r -rT 



#» 



10 12 12- 



9 1 1 

12 10 10 12 12- 



-9 13- 



^3- 



o o 



m [1,3, 2, 1] Total Chromatic 



i tt 'JiJff* J J J^'JI 



-35 9- 



-li- 



-8 9- 



-9 8- 



-11- 



-8 10- 



-8 10—8-10 12-10-12 12- 



10—8-10 12-10-12 12- 



-9 9 11—9- 



A 



*rrrVf i rrr*frrrfffffff i 



-ii- 



-9 1 1 12 



^ 



-10 12-10-12 12- 



-9 9 1 1-9—10- 



-9 11 13-9- 



10 10 12-10-12 12- 

12-10-12 12 



405 



\0] — \B] — — — \B] 



[1,2,3,1] Total Chromatic 



JJ i hJJ Ji J J J jh J^ 



^3- 



-8 

11 9 8—10- 



-8 10- 



-8-10 8-10-12 10-12 12- 



11 9 9-11 9- 

-8-10-12 10-12 12 



i 



TrYY i r r rrtrrfrrffr i 



-9 11- 



11 9 9-11 9—10-12- 



^3- 



-10-12 10-12 12- 



9 11 9—13 

12 10 10-12 10-12 12- 

10-12 12 



[O] — \B\ 



m [1,3,2,3] Total Chromatic 




8 8 9- 



-Q 9 9 11 11 9 8 



8 8 10 10- 

-9 11 1 1 9 9 1 1 



-8 10 10 12 12- 



10 10 12 12- 



* 



i 



te^jfe^^e 



frfrfrTfffff 



^ 



9 9 11 11 12- 

11 11 9 9 11 10 

10 12 12 



9 9 11 11 13-9-13- 

12 10 10 12 12 



12 12- 



406 



CHAPTER 26. MAJOR SCALE 



\o] — — — he 



K>N [1,3,4,2] Total Chromatic 



i^;j j as^g^ 



f^ '<f-m- 



-8 9-10-8- 



-8 8- 



-Q 8 9 10—11—9 12 11—8- 

8 12-10 12- 



-9 10—11-9 12 11-9- 

12-10 12- 



tt r rr r * r |» r f *fffr 




-ffrrfFfr^ 



-jj- 10—11-9 12 11-9 



^3- 



-10 12- 



9 10—11-9 11- 

10 



9 10—1 1-9 12-1311- 

12-10 13 12-10 12 



12- 



h©4 



| | | | [1,4,3,2] Total Chromatic 



Pi^J JrHr r rr* 



j tt ^J JW i hJWiHi i J 



bJiijL ^sa 



8 9- 



-8 10-9 — 8- 



-Q 9—8 11-10—9 12-11-8 



-8 12-10 12- 



-8 11-10-9 12-11-9- 

1210 12- 




t,H - i-yprY f | *fY ■ >¥¥ f gg || 



(t^fe #.££*£ 



-cf- 9 11-10—9 12- 

-j£ 11-10-9 12-11-9 10- 



^5- 



10 12- 



9 11-10—9 1312-11- 

11-10 131210 12 

12 



407 



| o | I I | o | o | o | [1,4,2,3] Total Chromatic 



WW\Jr \\ r¥ff% 



J l H W J * J lt Jt H J^Wy ^Ppt 



8 9- 



-8 10—8—9- 



-& 9 8 11—9—10 11-12—8 



-8 11-9—10 11-12-9- 



-8 12 10 12- 



12 10 12- 



jjgjg ^y ^p r |g| r *f fMrfofrf 



Utt 




-f 9 11—9-10 12- 

-^- 11-9-10 11-12-9 10- 



^3- 



-10 12- 



9 11—9-10 13-1112- 

10-1 1 12-13-10 12 

12 



| o | I I | o | o | o | [1,2,4,3] Total Chromatic 




^3- 



-8 

-9—8 9—11-10 11 12-8-12- 



-8-12 10 12- 



-9 — 8 9—11-10 11 12-9- 

10 12- 



-8 8-10-9- 



/V k ^^^ ^^^ ^«fl ^ ^ m ^j^S 3 ^3 ^ ^ ^ 



-% 9—1 1-10 1 1 12-9 



^5- 



-10 12- 



9 9—11-10 10- 

10 



9 9—1 1-10 1 1-1312- 

12-11 12 13-10 12 

12 



408 



CHAPTER 26. MAJOR SCALE 



\o] — — — he 



K>N [1,3,2,4] Total Chromatic 



*Sj 




i; j f ag 



^# 



8 8- 



^95 8 9 10-9—11 12-11 8 

8 12 10 12 



9 10-9—11 12-11 9- 

12 10 12 



-8 9—8-10- 




.^frfrttEfE 



-*f= 9 10-9—11 11- 

-jjf- 10-9—11 12-11 9 10- 



^3- 



10 12- 



9 10-9—1 1 12-1 1-13- 

10-12 13-12 10 12 



12- 



h©4 



| | | | [1,2,3,4] Total Chromatic 




-8 8—9-10- 



^s- 



8 9 9-10—11 11-12 8—12- 

-8-12 10 12- 



-8—9 9-10—11 11-12- 

10 12 



f i U.fHfh> , *fffff*fVff¥f^f 



409 



\0] — — \Bi 



\®\®\ [1,3,4,2] Total Chromatic 



$rv , r ri 



J J lMj|J i |J J *-V J ggg a ' TfrV *ne 



s 



^5 8—9- 



-8 11-10 12- 



g g_ 

-10-1 1—8 12 10-8 



-8 9-10- 



10-11—8 12 10-9 12- 

1 1-10 12 



ftef: * t &t 



t n .h. ^\ r ;^\ g f | p t ffr ^ ^r m I 



-*f= 9 10-11 11 

-jjf- 10-1 1—8 12 10-9 1210- 



^3- 



-10 12- 



9 10-11 1213-10- 

12—9 13 11-10 1312 



-12- 



| o | I | o | | o | o | [1,4,3,2] Total Chromatic 



wXMr b eE 



j jt J ^J W J J w J J I fl' W* H * 



-8 10-9- 



-Q 9—8 11-10-8 1210-8- 



-8 11-10 12- 



-8 11-10-8 1210-9 12- 

1 1-10 12 



w 



tete**££ 



, iJr\ f Jp g f f | »p i t^¥^r¥ ^ig 



-«F 9 1 1-10 12- 

-j£ 1 1-10—8 1210-9 1210- 



^5- 



10 12- 



11-10 13-12-10- 



11—9 1311-10 1312- 

12 



410 



CHAPTER 26. MAJOR SCALE 



| o | I l ° l l ° l ° l [1,4,2,3] Total Chromatic 




J lt J #J^J* J Jt H J+ H J ^ i wv* ■ 



-8 9- 



-8 10 9- 



-Q 9 8 1 1-8—10 10-12-8- 

8 11 10 12- 



8 1 1-8—10 10-12-9 12- 

11 10 12 



— — I - ^ — t^^^ I I l | i 



-9 11 10 12 



-jj- 1 1—8-10 10-12-9 12 10- 



^3- 



10 12- 



9 11 10 131012- 

-9—1 1 1 1-13-10 13 12 

12 



| o | I | o | | o | o | [1,2,4,3] Total Chromatic 



jpRi i ^J JWJ wvwrm 




-8 10-9- 



-95 9—8 8—11-10 10 12-8—11- 

8—11 10 12- 



-9 — 8 8—11-10 10 12-9-12- 

10 12- 



Mr.rk¥ . to . firrr¥ftrf¥tr??f 



411 



\0] — — \Bi 



\®\®\ [1,3,2,4] Total Chromatic 



J J #J^J J ^* J J J ^ J a J ' * J " J * J 




-8 9 10- 



8 8- 



-Q 8 9 10-8—1 1 12-10 8 

8 11 10 12 



9 10—8—11 12-10 9 12- 

-1 1 10 12 



fit 



gggg r r, t r gg f*r*fl i |> f *f*f f 1 |j. 



-9 10 1 1 1 1 



~2f- 10—8—11 12-10 9 12 10- 



^3- 



-10 12- 



-9 10 1 1 12-10-13- 



-9-12 13-1 1 10 13 12- 

12 



| o | I l ° l | o | o | [1,2,3,4] Total Chromatic 



J#J W\JV J $ J W J FJftJ \ # J J 




-8 9-10- 



^s- 



8 — 9 8-10-11 10-12 8—11- 

-8—1 1 10 12- 



-8—9 8-10-11 10-12 9—12- 

10 12 



rto.brir , to . trtrr?¥ir¥?*?tYf? 



412 



CHAPTER 26. MAJOR SCALE 



| o | | o | I | o | o | [1,4,2,3] Total Chromatic 



MiJr.b. m 



jy w jt* J jh ggpg^ i gg gggg as 



-8 10 9- 



-Q 9 8 11 10- 



-8 10 10 12 12- 



-9—12—8- 



-8 11 10 9—12-9 11- 



10 10 12 12- 



ig j r jrJr rW P r f i r*r r ^rrfrf f¥ 



-9 11 10 12- 



-11 10 9—12-9 11 10- 



^3- 



-10 12 12- 



9 1 1 10 13—9-12- 

11 10-1310 12 12 



12 12- 



| o | | o | I | o | o | [1,2,4,3] Total Chromatic 




413 



\0] — \B\ 



\®\®\ [1,3,2,4] Total Chromatic 



*9j 



J^J'JIt'.fr g 




# 



-8 9 10- 



8 8- 



-Q 8 9 10 1 1 12-9 8 

8 10 10 12 12 



9 10 1 1 12-9 9 1 1- 

10 10 12 12 



Hr±l^rllH\\ \ rf fTT ^ Tff ^rfrf 



-9 10 11 11- 



10 11 12-9 9 11 10- 



^3- 



-10 12 12- 



9 10 11 12-9-13- 

12 1310 10 12 12 



12 12- 



| o | | o | I | o | o | [1,2,3,4] Total Chromatic 




414 



CHAPTER 26. MAJOR SCALE 



| o | | o | | o | | o | [1,4,2,3] Total Chromatic 



P Jit J J J Jrr r r T 



^# 



^5 9- 



-8 

-11 9 9-11—8- 



-8 10 8- 



1 1 9 9-11—9 1 1- 



-8 10-12-10 12 12- 



10-12-10 12 12- 



?. , Jr > ft > f , f f f¥ff r*ffff 1^ 



* rrr jf rrr »p r rfa r f i rr' fffr fr *' fff ^ 



-9 11 9 12- 



-11 9 9-1 1-9 1 1 10- 



^h- 



-10 12 12- 



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12 12- 



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415 



| o | | o | | o | | o | [1,3,2,4] Total Chromatic 




-8 8 10- 



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-8 8-10- 



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10-12 10-12 10-12 12 



12- 



Beyond Slonimsky 

Melodic Patterns for Guitar 



Nicolas Slonimsky's Thesaurus of 
Scales and Melodic Patterns is a legend- 
ary book that has inspired musicians as 
diverse as John Coltrane, Frank Zappa 
and Buckethead. Many musicians own 
a copy yet are unsure what to do with it 
and how to unlock the many ideas it 
contains. 



This book presents a completely new ap- 
proach to the same idea. It does not repro- 
duce anything in Slonimsky's original 
book but supplements it by giving a de- 
tailed theoretical explanation of what's 
really going on in its first twelve chapters, 
then deriving new patterns from the same 
method. 



The patterns in the first part are organised by 
pitch content so that players working in a har- 
monic context can easily find patterns that out- 
line particular scales and arpeggios. 

The second part collects patterns that contain 
all twelve notes, and the third uses "non-sym- 
metrical bases" to suggest a world of new 
sounds. 



Used alongside Slonimsky's 
Thesaurus, this book is a source 
for practical and easy-to-apply 
patterns for all advanced musi- 
cians looking for a way into his 
sound-world. All patterns are 
written out in conventional no- 
tation and guitar tab. 




^ich Cochrane has been playing and teaching 
guitar for more than twenty five years, most re- 
entry at Greenwich Comunity College in 
.ondon. He has a degree in Mathematics and a 
? hD in the philosophy of music. As well as live 
nd studio experience with a variety of bands he 
-lakes electronic music and has soudtracked 

two short films. He has also published a large 

quantity of writing about music.